Solve this quadratic equation. x² + 2x - 22 = 0

Solution:

Given quadratic equation is

x² + 2x - 22 = 0

Compare with ax² + bx + c = 0

Here a = 1, b = 2, and c = -22

x = [-b ± √(b² - 4ac)]/ 2a

x = [-2 ± √(2² - 4(1)(-22))]/ 2(1)

x = [-2 ± √92]/ 2

x = [-2 ± 2√23]/ 2

x = -1 ± √23

II Method

x² + 2x - 22 = 0

x² + 2x = 22

Add 1 on both sides

x² + 2x + 1 = 22 + 1

(x + 1)² = 23

x + 1 = ±√23

x = -1 ± √23

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Solve this quadratic equation. x² + 2x - 22 = 0

Summary:

Solution of the quadratic equation x² + 2x - 22 = 0 is x = -1 ± √23.