Respuesta :

The solution to the equation using the completing the square are 2 and -3

Quadratic equation

These are equation that has a leading degree of 2. Given the equation below

-x^2 +x+6=0


This can also be written as

x^2-x-6 = 0

Complete the square

x^2-x = 6

x^2-x+ (1/2)^2 = 6 + (1/2)^2

(x-1/2)^2 = 6 + 1/4

(x+1/2)^2 = 25/4

x+1/2 = ±√25/4

x = 5/2 -1/2  or -5/2-1/2

x = 4/2  or -6/2

x = 2 and -3

Hence the solution to the equation using the completing the square are 2 and -3

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

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