caidancek0313
caidancek0313 caidancek0313
  • 20-09-2022
  • Mathematics
contestada

Solve the equation by completing the square.

x2 − 10x + 26 = 8

Fill in the values of a and b to complete the solutions.

Respuesta :

ogorwyne
ogorwyne ogorwyne
  • 22-09-2022

The values of a and b are:

a = 5 + √7

b = 5 - √7

Given data

x2 − 10x + 26 = 8

How to solve by completing x2 − 10x + 26 = 8 the square

Transform the equation to standard quadratic equation by equating to zero

x2 − 10x + 26 = 8

x2 − 10x + 26 - 8 = 0

x2 − 10x + 18 = 0

x2 − 10x + 18 + 5^2 - 5^2 = 0

x2 − 10x + 25 = 25 - 18

(x-5) (x-5) = 7

(x-5)^2 = 7

(x-5) = √7

x = 5 + √7

x = 5 - √7

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

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