x2+27x=+72

Solution for x2+27x=+72 equation:

x2+27x=+72

We move all terms to the left:

x2+27x-(+72)=0

We add all the numbers together, and all the variables

x2+27x-72=0

We add all the numbers together, and all the variables

x^2+27x-72=0

a = 1; b = 27; c = -72;
Δ = b2-4ac
Δ = 272-4·1·(-72)
Δ = 1017
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{1017}=\sqrt{9*113}=\sqrt{9}*\sqrt{113}=3\sqrt{113}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(27)-3\sqrt{113}}{2*1}=\frac{-27-3\sqrt{113}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(27)+3\sqrt{113}}{2*1}=\frac{-27+3\sqrt{113}}{2}
$