x^2-30x+36=0,x

Solution for x^2-30x+36=0,x equation:

x^2-30x+36=0.x

We move all terms to the left:

x^2-30x+36-(0.x)=0

We add all the numbers together, and all the variables

x^2-30x+36-0=0

We add all the numbers together, and all the variables

x^2-30x+36=0

a = 1; b = -30; c = +36;
Δ = b2-4ac
Δ = -302-4·1·36
Δ = 756
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:

$\sqrt{\Delta}=\sqrt{756}=\sqrt{36*21}=\sqrt{36}*\sqrt{21}=6\sqrt{21}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-30)-6\sqrt{21}}{2*1}=\frac{30-6\sqrt{21}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-30)+6\sqrt{21}}{2*1}=\frac{30+6\sqrt{21}}{2}
$