11x^2+275-3000=0

Solution for 11x^2+275-3000=0 equation:

11x^2+275-3000=0

We add all the numbers together, and all the variables

11x^2-2725=0

a = 11; b = 0; c = -2725;
Δ = b2-4ac
Δ = 02-4·11·(-2725)
Δ = 119900
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:

$\sqrt{\Delta}=\sqrt{119900}=\sqrt{100*1199}=\sqrt{100}*\sqrt{1199}=10\sqrt{1199}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-10\sqrt{1199}}{2*11}=\frac{0-10\sqrt{1199}}{22}
=-\frac{10\sqrt{1199}}{22}
=-\frac{5\sqrt{1199}}{11}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+10\sqrt{1199}}{2*11}=\frac{0+10\sqrt{1199}}{22}
=\frac{10\sqrt{1199}}{22}
=\frac{5\sqrt{1199}}{11}
$