Question

Find the roots of the equation: f(x)=64x2+6=31

Answer 1

x = 5/8=0.625 and x = -5/8=−0.625

Explanation:

f(x)=64x^2+6=31

Subtract 6 from both sides.

64x^2+6=31

Subtract 6 from 31 to get 25.

64x^2=25

Divide both sides by 64.

x^2=25/64

Take the square root of both sides of the equation.

x=5/8=0.625

x=-5/8=−0.625

Answer 2

5/8, -5/8

Explanation:

64x^2 = 25

divide both sides by 64

x^2 = 25/64

take the square root of both sides, and the negative square roots