10x^2-1960=0

Solution for 10x^2-1960=0 equation:

10x^2-1960=0

a = 10; b = 0; c = -1960;
Δ = b2-4ac
Δ = 02-4·10·(-1960)
Δ = 78400
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{78400}=280$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-280}{2*10}=\frac{-280}{20}
=-14
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+280}{2*10}=\frac{280}{20}
=14
$