Which are the solutions of the quadratic equation? x² = 7x + 4
-7, 0, 7, 0

Solution:

The given quadratic equation is x² = 7x + 4

We can write it as

⇒ x² - 7x - 4 = 0

The standard form of the quadratic equation ax² + bx + c = 0 and the quadratic formula used is

x = [-b ± √(b² - 4ac)]/2a

Here a = 1, b = -7 and c = -4

Substituting these values in the formula, we get

x = [-(-7) ± √((-7)² - 4 × 1 × -4)]/(2 × 1)

By further simplification

x = [7 ± √(49 + 16)]/2

x = [7 ± √65]/2

Therefore, the solution is x = [7 ± √65]/2.

Which are the solutions of the quadratic equation? x² = 7x + 4

Summary:

The solution of the quadratic equation x² = 7x + 4 is x = [7 ± √65]/2.