Verified Answer :

luana

\(x^{2}+12=7*x\), where x is unknown numer

Now we are moving \(7*x\) on left side to obtain quadratic equation:

\(x^{2}+12-7*x=0\)

Our goal is to find two roots of this equation.

First we are finding delta:

\(\Delta =b^{2}-4*a*c\)

\(\Delta =(-7)^{2}-4*1*12=1\)

First root:

\(x_{1}=\frac{-b+\sqrt{\Delta}}{2*a}\)

\(x_{1}=\frac{7+\sqrt{1 }}{2}=4\)

Second root:

\(x_{2}=\frac{-b-\sqrt{\Delta}}{2*a}\)

\(x_{2}=\frac{7-\sqrt{1 }}{2}=3\)

\(x^2+12=7x\\ x^2-7x+12=0\\ x^2-3x-4x+12=0\\ x(x-3)-4(x-3)=0\\ (x-4)(x-3)=0\\ x=4 \vee x=3\)