9x^2-16x+52=8x^2

Find the discriminant

x=8+2√3 or x=8-2√3

Step-by-step 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