The equation 6x2 - 132 +5 -0 has solutions of the form NVD
M
(A) Use the quadratic formula to solve this equation and find the appropriate integer values of N.M and D. Do not worry about simplifying the VD yet in this part of the problem.
N = ]:D
M
(B) Now simplify the radical and the resulting solutions. Enter your answers as a list of integers or reduced fractions, separated with commas. Example: -5/2-3/4
Preview

(A)

(B)

Step-by-step explanation:

The given equation is

The solution is of the form as given by

(A) Use the quadratic formula to solve this equation and find the appropriate integer values of N, M and D. Do not worry about simplifying the VD yet in this part of the problem.

The quadratic formula is given by

The equations of N, M and D are

The values of a, b and c are

So,

(B) Now simplify the radical and the resulting solutions. Enter your answers as a list of integers or reduced fractions, separated with commas. Example: -5/2-3/4

N = 13

D = 49

M = 12

 and

 and

 and

Steps:

given: when x = 8 , y = 20

if x = 68

then y = (68 × 20)/8 = 1360/8 = 170