Question

Consider the quadratic equation x2 10x 27 = 0. completing the square leads to the equivalent equation (x )2 = .

Answer 1

The solution to the given quadratic expression using the completing the square is x = ±√-2 -5

Completing the square method

This is a method of factoring quadratic expression. Given the quadratic function.

x^2 + 10x + 27 = 0

Subtract 27 from both sides

x^2 + 10x = -27

Complete the square

x^2 +10x +5^2 = -27 + 25

(x+5)² = -2
x +5 = ±√-2
x = ±√-2 -5

Hence the solution to the given quadratic expression using the completing the square is  x = ±√-2 -5

Learn more on completing the square here: https://brainly.com/question/13981588

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