5x^2-24x+36=225

Solution for 5x^2-24x+36=225 equation:

5x^2-24x+36=225

We move all terms to the left:

5x^2-24x+36-(225)=0

We add all the numbers together, and all the variables

5x^2-24x-189=0

a = 5; b = -24; c = -189;
Δ = b2-4ac
Δ = -242-4·5·(-189)
Δ = 4356
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{4356}=66$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-24)-66}{2*5}=\frac{-42}{10}
=-4+1/5
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-24)+66}{2*5}=\frac{90}{10}
=9
$