What are the solutions to the quadratic equation 4x² = 64?

Solution:

Given quadratic equation is 4x² = 64

⇒ x² = 16

⇒ x = ± 4

The general quadratic solution is given by ax² + bx + c = 0; whose roots are given by the quadratic formula.

x = [-b ± √(b² - 4ac)]/ 2a

Comparing 4x² - 64 = 0 to ax² + bx + c = 0

⇒ a = 4, b = 0, c = -64

x = [-0 ± √(0² - 4(4)(-64))]/ 2(4)

x = ± 4

What are the solutions to the quadratic equation 4x² = 64?

Summary:

The solutions to the quadratic equation 4x² = 64 is x = ± 4.