SOLUTION :
5x^2 - 55x - 30 = 0
Add 5 * (11/2)^2 on both sides : (ANSWER)
=> 5x^2 - 55x + 5(11/2)^2 - 30 = 5(11/2)^2
=> 5(x^2 - 11x + (11/2)^2) - 5 * 6 = 5(11/2)^2
Divide by 5 :
=> x^2 - 11x + (11/2)^2 - 6 = (11/2)^2
=> (x - 11/2)^2 = 6 + (11/2)^2 = 145/4
=> x - 11/2 = +/- sqrt(145/4)
=> x = 11/2 - sqrt(145)/2 , 11/2 + sqrt(145)/2 (ANSWER).
Solve the quadratic equation by completing the square. 5x? - 55x - 30 = 0 To...
Solve the following equation by completing the square 7-7x-1=0 The solution set is (Type an exact answer, using radicals as needed. Use integers or fractions for any numbers in the expression Use a comma to separate answers as needed Simplify your answer)
Solve the quadratic equation by the square root property 2x²=8 The solution set is (Simplify your answers. Type exact answers, using radicals as needed Use a comma to separate answers as needed.)
Solve the equation after making an appropriate substitution, *4-6x² +8=0 Determine the appropriate substitution using the new variable u: U Write the new quadratic equation using the variable u: (Type an equation. Type your answer in standard form.) Solve the new quadratic equation for the variable u. u= (Simplify your answer. Type an integer or a simplified fraction. Use a comma to separate answers as needed.) The solution set to the original equation is a. (Simplify your answer. Type an...
Solving a quadratic equation by completing the square: Exact... Solve the quadratic equation by completing the square. x² + 12x+33=0 First, choose the appropriate form and fill in the blanks with the correct numbers. Then, solve the equation. If there is more than one solution, separate them with commas. Form: DIE 0 00 (x+D- (x-0²=0 Solution: Check Explanation F2 esc
two part question! Solve the equation for exact solutions over the interval (0, 21) 6 tan 3x = 6 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A The solution set is (Type an exact answer, using as needed. Type your answer in radians. Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed) B. The solution is the empty set. Find...
Use the functions f(x)-X-1 and g(x)=x + 19 to answer parts (a)-(g) (a) Solve f(x)-0 b) Solve g(x)-0 c) Solve f(x)-gx) (d) Solve f(x)>0 (e) Solve gix)s0 (f) Solve f(x) > g(x). (g) Solve f(x)21 (a) The solution tox)0sx Type an integer or a fraction. Use a comma to separate answers as needed.) (b) The solution to g(x)-0isx Type an integer or a fraction. Use a comma to separate answers as needed.) (c) The solution to f(x),(x) is x:0. Type...
This Question: 14 pts Solve for x using the quadratic formula x2-5x-50-0 The solution is x Simplfy your answer. Type an exact answer, using radicals andi/as needed Use a comma to separate answers as needed
Given the equation x4 + 4x2 – 5x² – 16x +4 = 0, complete the following. a. List all possible rational roots. b. Use synthetic division to test several possible rational roots in order to identify one actual root. c. Use the root from part (b) to solve the equation. a. List all rational roots that are possible according to the Rational Zero Theorem. (Use commas to separate answers as needed.) b. Use synthetic division to test several possible rational...
Solve the equation for exact solutions over the interval [0, 21). -2 sin ?x= 3 sin x + 1 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The solution set is (Type an exact answer, using a as needed. Type your answer in radians. Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed.) OB. The solution is the empty set.
Solve the logarithmic equation. Be sure to reject any value of that is not in the domain of the original logarithmic expression 4 In (5x) = 8 Solve the equation. What is the exact solution? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The solution set is (Type an exact answer in simplified form. Use integers or fractions for any numbers in the expression) O B. There are infinitely...