What is the answer to this quadratic equation?

X^2 - 26x + 195=51

Either x=18 or x=8

Step-by-step explanation:

To find the answer to this quadratic equation, we will follow the steps below:

X² - 26x + 195=51

Subtract 51 from both-side of the equation

X² - 26x + 195-51 = 51 - 51

X² - 26x + 144 = 0

comparing the above with the standard equation

ax² + bx + c=0

a = 1 b = - 26 c = 144

Using the quadratic formula

x = - b ± √b² - 4ac / 2a

x = - (-26) ± √ (-26) ² - 4 (1) (144) / 2 (1)

x = 26 ± √676 - 576 / 2

x = 26 ± √100 / 2

x = 26 ± 10 / 2

Either x = 26+10 / 2 or x = 26-10 / 2

Either x = 36/2 or x=16/2

Either x=18 or x=8