Question

What is the answer to this quadratic equation? X^2 -26x +195=51

Answer 1

Answer:

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