Answer:
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
