Factorise the following quadratic equation: x2 + 10x + 16 = 0 Select one or more:...
_17 Which of the following is a quadratic equation? (1) x2 +6 = 0 (2) 2x – 10 = 15 (3) 2x' – 32 = x (4) x + 2 = 10 _18 The smaller solution of the equation (x – 6)(x+5) = 0 is (1) -6 (2) – 6 (3) - 6 (4) -6
6. Given x2 + y2 - 4x -Ny-16 = 0 is the equation of a circle in general form, which of the following represents the standard form of this circle? A) (x-4)2 + (y - 3)2 = 36 B) (x - 2)2 + (y - 4)2 = 36 6) C) (x - 2)2 + (y - 4)2 = 6 D) (x + 4)2 + ( + 8)2 = 36 E) None of the Above 7. Write the equation of a...
The two roots of the quadratic equation ax2 + bx + c = 0 can be found using the quadratic formula as -b+ v62 – 4ac . -b-v6² – 4ac 1 X1 = - and x2 = 2a 2a When b2 – 4ac < 0 this yields two complex roots - -b V4ac – 62 -b Vac – 6² x1 = = +. . 2a 2a i. and x2 = . za 2al Using the quadratic formula the roots of...
Find the values of x2 0 and y 2 0 that maximize z 10x+ 12y, subject to each of the following sets of constraints (a) x ys 13 x +4y s 16 (b) x 3y 2 12 3x y2 18 (a) Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA. The maximum value occurs at .(Type an ordered pair.) 0 B. There is no maximum value. Find the values of x2...
The differential equation X2," +xy, + ( X2-1 / 16 )y = 0 is Select the correct answer. a. Bessel's equation of order 1/4 b. Legendre's equation of order 1/16 c. Bessel's equation of order n d. Bessel's equation of order 1/16 e. Legendre's equation of order 1/4 The differential equation X2," +xy, + ( X2-1 / 16 )y = 0 is Select the correct answer. a. Bessel's equation of order 1/4 b. Legendre's equation of order 1/16 c. Bessel's...
Which of the following are solutions to the quadratic equation? Check all that apply. x2+2x-8-0 nB. 28
2. (10 points) Given a quadratic equation x2 + bx + c = 0, write a paragraph which details the method for completing the square.
1. Find the real solutions of the following equation: 736 + 16 = 4 A) {0) B) (1) 1) D) {4} E) None of the Above 2) 2. Find the real solutions of the following quadratic equation: x2 – 3x = 18 A) {6} B) (-6,3) C) (-3) D) {-3,6) E) None of the Above 3. Find the equation of the line in slope-intercept form that is perpendicular to the line y = 3x - and contains the point (6,2)....
Q3. Rewrite the following as a quadratic equation: 22x- 6(2*) 8 0. Find its roots and then the value(s) of X. Q3. Rewrite the following as a quadratic equation: 22x- 6(2*) 8 0. Find its roots and then the value(s) of X.
Investigation 4: Quadratic Equations The quadratic equation is typically written in the form and has the solution 2a In this Investigation, we will look at a number of equations, rearrange them to be in this form, and identify which variables correspond to a, b, c, & x in the definition above. Activity 1-8: For each of the expressions, do the following Is it absolutely necessa ry to use the quadratic equation to solve the expression? . egardless of whether you...