Question

Solve the equation
x2 + 4x - 7 = 0
by completing the square.
Give your answers correct to 2 decimal places.

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Answer 1

See the steps below:

• x² + 4x - 7 = 0
• x² + 4x + 4 - 4 - 7 = 0
• (x + 2)² - 11 = 0
• (x + 2)² = 11
• x + 2 = ± √11
• x = - 2 ± √11
• x = -2 ± 3.32
• x = 1.32, x = - 5.32