Answer:
Either x=18 or x=8
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