(X-11)(x-8)=1225

Solution for (X-11)(x-8)=1225 equation:

(X-11)(X-8)=1225

We move all terms to the left:

(X-11)(X-8)-(1225)=0

We multiply parentheses ..

(+X^2-8X-11X+88)-1225=0

We get rid of parentheses

X^2-8X-11X+88-1225=0

We add all the numbers together, and all the variables

X^2-19X-1137=0

a = 1; b = -19; c = -1137;
Δ = b2-4ac
Δ = -192-4·1·(-1137)
Δ = 4909
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-19)-\sqrt{4909}}{2*1}=\frac{19-\sqrt{4909}}{2}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-19)+\sqrt{4909}}{2*1}=\frac{19+\sqrt{4909}}{2}
$