X2-5(x-89)=5555

Solution for X2-5(x-89)=5555 equation:

X2-5(X-89)=5555

We move all terms to the left:

X2-5(X-89)-(5555)=0

We add all the numbers together, and all the variables

X^2-5(X-89)-5555=0

We multiply parentheses

X^2-5X+445-5555=0

We add all the numbers together, and all the variables

X^2-5X-5110=0

a = 1; b = -5; c = -5110;
Δ = b2-4ac
Δ = -52-4·1·(-5110)
Δ = 20465
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{-(-5)-\sqrt{20465}}{2*1}=\frac{5-\sqrt{20465}}{2}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-5)+\sqrt{20465}}{2*1}=\frac{5+\sqrt{20465}}{2}
$