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Solve x2 – 14x 31 = 63 for x

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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

User Ondrej Tucny
by
7.8k points
6 votes

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

User Dgan
by
9.0k points

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