Question

Solve x2 – 14x 31 = 63 for x

Answer 1

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation : 

                     x^2-14*x+31-(63)=0                     x = 16

Answer 2

Answer with Step-by-step explanation:

We have to find the solution of the equation:

$x^2-14x+31=63$

this equation could also be written as:

$x^2-14x+31-63=0$

$x^2-14x-32=0$

On splitting the middle term, we get

$x^2-16x+2x-32=0$

on combining first,second and third,fourth term

x(x-16)+2(x-16)=0

⇒ (x+2)(x-16)=0

⇒ either x+2=0  or x-16=0

⇒ either x= -2 or x=16

Hence, solution of $x^2-14x+31=63$ is:

-2 and 16