6x^2-330x+2700=0

Solution for 6x^2-330x+2700=0 equation:

6x^2-330x+2700=0

a = 6; b = -330; c = +2700;
Δ = b2-4ac
Δ = -3302-4·6·2700
Δ = 44100
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{44100}=210$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-330)-210}{2*6}=\frac{120}{12}
=10
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-330)+210}{2*6}=\frac{540}{12}
=45
$