5x*x=1764

Solution for 5x*x=1764 equation:

5x*x=1764

We move all terms to the left:

5x*x-(1764)=0

Wy multiply elements

5x^2-1764=0

a = 5; b = 0; c = -1764;
Δ = b2-4ac
Δ = 02-4·5·(-1764)
Δ = 35280
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:

$\sqrt{\Delta}=\sqrt{35280}=\sqrt{7056*5}=\sqrt{7056}*\sqrt{5}=84\sqrt{5}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-84\sqrt{5}}{2*5}=\frac{0-84\sqrt{5}}{10}
=-\frac{84\sqrt{5}}{10}
=-\frac{42\sqrt{5}}{5}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+84\sqrt{5}}{2*5}=\frac{0+84\sqrt{5}}{10}
=\frac{84\sqrt{5}}{10}
=\frac{42\sqrt{5}}{5}
$