1150=s2

Solution for 1150=s2 equation:

1150=s2

We move all terms to the left:

1150-(s2)=0

We add all the numbers together, and all the variables

-1s^2+1150=0

a = -1; b = 0; c = +1150;
Δ = b2-4ac
Δ = 02-4·(-1)·1150
Δ = 4600
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$s_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$s_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{4600}=\sqrt{100*46}=\sqrt{100}*\sqrt{46}=10\sqrt{46}$
$s_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-10\sqrt{46}}{2*-1}=\frac{0-10\sqrt{46}}{-2}
=-\frac{10\sqrt{46}}{-2}
=-\frac{5\sqrt{46}}{-1}
$
$s_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+10\sqrt{46}}{2*-1}=\frac{0+10\sqrt{46}}{-2}
=\frac{10\sqrt{46}}{-2}
=\frac{5\sqrt{46}}{-1}
$