X^2-11=900x

Solution for X^2-11=900x equation:

X^2-11=900X

We move all terms to the left:

X^2-11-(900X)=0

a = 1; b = -900; c = -11;
Δ = b2-4ac
Δ = -9002-4·1·(-11)
Δ = 810044
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:

$\sqrt{\Delta}=\sqrt{810044}=\sqrt{4*202511}=\sqrt{4}*\sqrt{202511}=2\sqrt{202511}$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-900)-2\sqrt{202511}}{2*1}=\frac{900-2\sqrt{202511}}{2}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-900)+2\sqrt{202511}}{2*1}=\frac{900+2\sqrt{202511}}{2}
$