Solve the equation by completing the square x^2-10x+26=8

x = 5 + sqrt(7) or x = 5 - sqrt(7)

Step-by-step explanation by completing the square:

Solve for x:

x^2 - 10 x + 26 = 8

Subtract 26 from both sides:

x^2 - 10 x = -18

Add 25 to both sides:

x^2 - 10 x + 25 = 7

Write the left hand side as a square:

(x - 5)^2 = 7

Take the square root of both sides:

x - 5 = sqrt(7) or x - 5 = -sqrt(7)

Add 5 to both sides:

x = 5 + sqrt(7) or x - 5 = -sqrt(7)

Add 5 to both sides:

 x = 5 + sqrt(7) or x = 5 - sqrt(7)

false

step-by-step explanation:

false : it can not go to 9 the highest that part can go is 7

here is your proof