5x*x-720=3

Solution for 5x*x-720=3 equation:

5x*x-720=3

We move all terms to the left:

5x*x-720-(3)=0

We add all the numbers together, and all the variables

5x*x-723=0

Wy multiply elements

5x^2-723=0

a = 5; b = 0; c = -723;
Δ = b2-4ac
Δ = 02-4·5·(-723)
Δ = 14460
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:

$\sqrt{\Delta}=\sqrt{14460}=\sqrt{4*3615}=\sqrt{4}*\sqrt{3615}=2\sqrt{3615}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-2\sqrt{3615}}{2*5}=\frac{0-2\sqrt{3615}}{10}
=-\frac{2\sqrt{3615}}{10}
=-\frac{\sqrt{3615}}{5}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+2\sqrt{3615}}{2*5}=\frac{0+2\sqrt{3615}}{10}
=\frac{2\sqrt{3615}}{10}
=\frac{\sqrt{3615}}{5}
$