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

the answer is + / - 5 and the √7 for both. Put 5 where the "A's" are and 7 where the "B's" are

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:

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