Question

9x^2-16x+52=8x^2
Find the discriminant

Answer 1

x=8+2√3 or x=8−2√3

Explanation:

Let's solve your equation step-by-step.

9x2−16x+52=8x2

Step 1: Subtract 8x^2 from both sides.

9x2−16x+52−8x2=8x2−8x2

x2−16x+52=0

For this equation: a=1, b=-16, c=52

1x2+−16x+52=0

Step 2: Use quadratic formula with a=1, b=-16, c=52.

x=

−b±√b2−4ac

2a

x=

−(−16)±√(−16)2−4(1)(52)

2(1)

x=

16±√48

2

x=8+2√3 or x=8−2√3