Respuesta :

The solution to the given quadratic expression using the completing the square is  x = ±√10 +8

Completing the square method

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

x^2 − 16x + 54 = 0

Subtract 54 from both sides

x^2 − 16x = -54

Complete the square

x^2 -16x +8^2 = -54 + 64

(x-8)² = 10
x - 8 = ±√10
x = ±√10 +8

Hence the solution to the given quadratic expression using the completing the square is  x = ±√10 +8

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

#SPJ4