5x^2+3=835

Solution for 5x^2+3=835 equation:

5x^2+3=835

We move all terms to the left:

5x^2+3-(835)=0

We add all the numbers together, and all the variables

5x^2-832=0

a = 5; b = 0; c = -832;
Δ = b2-4ac
Δ = 02-4·5·(-832)
Δ = 16640
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:

$\sqrt{\Delta}=\sqrt{16640}=\sqrt{256*65}=\sqrt{256}*\sqrt{65}=16\sqrt{65}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-16\sqrt{65}}{2*5}=\frac{0-16\sqrt{65}}{10}
=-\frac{16\sqrt{65}}{10}
=-\frac{8\sqrt{65}}{5}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+16\sqrt{65}}{2*5}=\frac{0+16\sqrt{65}}{10}
=\frac{16\sqrt{65}}{10}
=\frac{8\sqrt{65}}{5}
$