2x^2+9-893=0

Solution for 2x^2+9-893=0 equation:

2x^2+9-893=0

We add all the numbers together, and all the variables

2x^2-884=0

a = 2; b = 0; c = -884;
Δ = b2-4ac
Δ = 02-4·2·(-884)
Δ = 7072
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:

$\sqrt{\Delta}=\sqrt{7072}=\sqrt{16*442}=\sqrt{16}*\sqrt{442}=4\sqrt{442}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-4\sqrt{442}}{2*2}=\frac{0-4\sqrt{442}}{4}
=-\frac{4\sqrt{442}}{4}
=-\sqrt{442}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+4\sqrt{442}}{2*2}=\frac{0+4\sqrt{442}}{4}
=\frac{4\sqrt{442}}{4}
=\sqrt{442}
$