f (x) = e.13, oo) k. none x-3 Find the real solution(s) for the following equations....

Question

Question

f (x) = e.13, oo) k. none x-3 Find the real solution(s) for the following equations. Write none if appropriate a. (x +3)2 +

math algebra

Add a comment Improve this question Transcribed image text

Answer 1

Answer #1

Answer:
(a). none

(b). x=4, x=12

Explanation:

(a). (x+3)²+4=0

x²+9+6x+4=0

x²+6x+13=0 -------------------------------------------------- (1)

Comparing this equation with standard equation, ax²+bx+c=0, we have,

a=1

b=6

c=13

For the equation to have real solutions, b²-4ac>0.

We have,

b²=6^2=36

4ac=4*1*13=52

So, b²-4ac=36-52=-16

so, b²-4ac<0.

Hence, the equation does not have a real solution.

(b). $\sqrt{2x+1}$ =7-

Squaring on both sides

2x+1=(7-x)²

2x+1=49+x²-14x

x²-14x+49-2x-1=0

x²-16x+48=0

x²-12x-4x+48=0

x(x-12)-4(x-12)=0

(x-12)(x-4)=0

So we have,

(x-12)=0 => x=12

(x-4)=0 =>x=4

So, real solutions are x=4, x=12.

Add a comment

Answer 2

Similar Homework Help Questions

1. Find lim f(x) and lim f(x) for each of the following. Assign oo or -...

1. Find lim f(x) and lim f(x) for each of the following. Assign oo or - where appropriate: (a) f(z)=42 -2 (b) f(x)= 3r-2 (e) f(1)--5rt6 (x - 2)2 2. Find each of the f limits, assigning oo or-o where appropriate x+2z-1 (b)lm 3r-2 3 r-2 (c) li 42+1 (k) im (2r V4r2-8r 3) 15r-2 3. Find the horizontal and vertical asymptotes of each of the following functions 4. Sketch the graph of each of the following functions and determine,...
Let f(z) = V3z sin(#) and P(z) =r-x-1. 1. Find f(e) 2. Find the real solution(s) to Px) 0. Hint: ...

This is a MATLAB question so please answer them with MATLAB steps. Let f(z) = V3z sin(#) and P(z) =r-x-1. 1. Find f(e) 2. Find the real solution(s) to Px) 0. Hint: use the roots command. 3. Find the global minimum for f(x). Hint: plot f over [0,2] 4. Solve f()P. Hint: plot f and P over [0,21. 5. Find lim,→0+ f(x). Hint: make a vector hi make a table [x + h; f(x + h)]". 6. Find '(In 2)....
Question 4. (20 pts.) a) In the following system of linear equations, find k such that...

Question 4. (20 pts.) a) In the following system of linear equations, find k such that the system Has unique solution Has infinitely many solutions Has no solution x+z=0 x + 2y + 2z = 3 (x + kk + 1)y + z = k Question 5. (20 pts.) a)Find Eigenvalues and Eigenvectors of the following matrix 13 2 6 1 -2 3 16 4 12 b) Find the Fourier series representation of the function with period 21 given by...

0, oo) which converges to a certain real Let f be a real-valued continuous function over o0, i.e., lim f(x) = A. Answer...

0, oo) which converges to a certain real Let f be a real-valued continuous function over o0, i.e., lim f(x) = A. Answer the following questions value A as Find the following limit lim aoo a2 f (x)dx 0, oo) which converges to a certain real Let f be a real-valued continuous function over o0, i.e., lim f(x) = A. Answer the following questions value A as Find the following limit lim aoo a2 f (x)dx
where Problem 36. Assume f : X → [0, oo]. Prove that if Σ f(x) < 00, then {x E X (z) > 0} is a countable set. (HINT: Show that for every k E N the set {x E X | f(x) > k-1} is finite.)...

where Problem 36. Assume f : X → [0, oo]. Prove that if Σ f(x) < 00, then {x E X (z) > 0} is a countable set. (HINT: Show that for every k E N the set {x E X | f(x) > k-1} is finite.) f(x)-sup f(x) | F is any finite subset of X TEF Problem 36. Assume f : X → [0, oo]. Prove that if Σ f(x) 0} is a countable set. (HINT: Show that...
Question 2 ul lu (a) Find the solution u(x,t) for the 1-D wave equationfor -oo < x < oo with initial conditions u (x,0)-A(x) , where A(x) s presented in the diagram below, and zero initial velo...

Question 2 ul lu (a) Find the solution u(x,t) for the 1-D wave equationfor -oo < x < oo with initial conditions u (x,0)-A(x) , where A(x) s presented in the diagram below, and zero initial velocity. For full marks u(x,t) needs to be expressed as an equation involving x and t, somewhat similar to f(x) on page 85 of the Notes Part 2. di+10 dı+15di+20 (b) Check for the wave equation in (a) that if f(xtct) (use appropriate value...

FIND THE GENERAL SOLUTION Need ALL 4. Differential Equations class 13. x(t) E) (1) 2) st)...

FIND THE GENERAL SOLUTION Need ALL 4. Differential Equations class 13. x(t) E) (1) 2) st) 14. 7'(t) = ( 1 5 0 15. 7'(t) = ( 2 1 32 0 -20 x(t) - 1 16. 7'(t) = 3 0 2 1 -10 | z(t) -2 -1
Let X have probability density function f(2)= k(1+x) -3 for 0 < x < oo and...

Let X have probability density function f(2)= k(1+x) -3 for 0 < x < oo and f(x) = 0 elsewhere. a. Find the constant k and Find the c.d.f. of X. b. Find the expected value and the variance of X. Are both well defined? c. Suppose you are required to generate a random variable X with the probability density function f(x). You have available to you a computer program that will generate a random variable U having a U[0,...
21 13 pts) 2. Find a basis for the solution space x of the following linear homogeneous system of equations: 1+2 +3...

21 13 pts) 2. Find a basis for the solution space x of the following linear homogeneous system of equations: 1+2 +3 +14 213r2+4r3- 5x4 4x1+6r2 +8T3- 10x4 6r1 +9r2 +12r3 - 15r4= 0 0 Your solution must include verification that the basis spans the set of all solutions and is linearly independent. 21 13 pts) 2. Find a basis for the solution space x of the following linear homogeneous system of equations: 1+2 +3 +14 213r2+4r3- 5x4 4x1+6r2 +8T3-...

Find the most general real-valued solution to the linear system of differential equations x⃗ ′=[1−34−6]x⃗ .x→′=[14−3−6]x→....

Find the most general real-valued solution to the linear system of differential equations x⃗ ′=[1−34−6]x⃗ .x→′=[14−3−6]x→. ⎡⎣⎢⎢[ x1(t)x1(t) ⎤⎦⎥⎥] x2(t)x2(t) =c1=c1 ⎡⎣⎢⎢[ ⎤⎦⎥⎥] + c2+ c2 ⎡⎣⎢⎢[ ⎤⎦⎥⎥] a. Find the most general real-valued solution to the linear system of differential equations a = [_3_-4). 1 4 3 - 6 xit) = C1 + C2 22(t) b. In the phase plane, this system is best described as a source / unstable node sink / stable node saddle center point /...

f (x) = e.13, oo) k. none x-3 Find the real solution(s) for the following equations....

Homework Answers

Add Answer to:
f (x) = e.13, oo) k. none x-3 Find the real solution(s) for the following equations....

Post as a guest

Earn Coins

1. Find lim f(x) and lim f(x) for each of the following. Assign oo or -...

Let f(z) = V3z sin(#) and P(z) =r-x-1. 1. Find f(e) 2. Find the real solution(s) to Px) 0. Hint: ...

Question 4. (20 pts.) a) In the following system of linear equations, find k such that...

0, oo) which converges to a certain real Let f be a real-valued continuous function over o0, i.e., lim f(x) = A. Answer...

where Problem 36. Assume f : X → [0, oo]. Prove that if Σ f(x) < 00, then {x E X (z) > 0} is a countable set. (HINT: Show that for every k E N the set {x E X | f(x) > k-1} is finite.)...

Question 2 ul lu (a) Find the solution u(x,t) for the 1-D wave equationfor -oo < x < oo with initial conditions u (x,0)-A(x) , where A(x) s presented in the diagram below, and zero initial velo...

FIND THE GENERAL SOLUTION Need ALL 4. Differential Equations class 13. x(t) E) (1) 2) st)...

Let X have probability density function f(2)= k(1+x) -3 for 0 < x < oo and...

21 13 pts) 2. Find a basis for the solution space x of the following linear homogeneous system of equations: 1+2 +3...

Find the most general real-valued solution to the linear system of differential equations x⃗ ′=[1−34−6]x⃗ .x→′=[14−3−6]x→....

f (x) = e.13, oo) k. none x-3 Find the real solution(s) for the following equations....

Homework Answers

Add Answer to: f (x) = e.13, oo) k. none x-3 Find the real solution(s) for the following equations....

Post as a guest

Earn Coins

Add Answer to:
f (x) = e.13, oo) k. none x-3 Find the real solution(s) for the following equations....