X^2+9x-112X=0

Solution for X^2+9x-112X=0 equation:

X^2+9X-112X=0

We add all the numbers together, and all the variables

X^2-103X=0

a = 1; b = -103; c = 0;
Δ = b2-4ac
Δ = -1032-4·1·0
Δ = 10609
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{10609}=103$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-103)-103}{2*1}=\frac{0}{2}
=0
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-103)+103}{2*1}=\frac{206}{2}
=103
$