210-60x^2=0

Solution for 210-60x^2=0 equation:

210-60x^2=0

a = -60; b = 0; c = +210;
Δ = b2-4ac
Δ = 02-4·(-60)·210
Δ = 50400
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:

$\sqrt{\Delta}=\sqrt{50400}=\sqrt{3600*14}=\sqrt{3600}*\sqrt{14}=60\sqrt{14}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-60\sqrt{14}}{2*-60}=\frac{0-60\sqrt{14}}{-120}
=-\frac{60\sqrt{14}}{-120}
=-\frac{\sqrt{14}}{-2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+60\sqrt{14}}{2*-60}=\frac{0+60\sqrt{14}}{-120}
=\frac{60\sqrt{14}}{-120}
=\frac{\sqrt{14}}{-2}
$