15x^2=145

Solution for 15x^2=145 equation:

15x^2=145

We move all terms to the left:

15x^2-(145)=0

a = 15; b = 0; c = -145;
Δ = b2-4ac
Δ = 02-4·15·(-145)
Δ = 8700
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:

$\sqrt{\Delta}=\sqrt{8700}=\sqrt{100*87}=\sqrt{100}*\sqrt{87}=10\sqrt{87}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-10\sqrt{87}}{2*15}=\frac{0-10\sqrt{87}}{30}
=-\frac{10\sqrt{87}}{30}
=-\frac{\sqrt{87}}{3}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+10\sqrt{87}}{2*15}=\frac{0+10\sqrt{87}}{30}
=\frac{10\sqrt{87}}{30}
=\frac{\sqrt{87}}{3}
$