5x2+43=2688

Solution for 5x2+43=2688 equation:

5x^2+43=2688

We move all terms to the left:

5x^2+43-(2688)=0

We add all the numbers together, and all the variables

5x^2-2645=0

a = 5; b = 0; c = -2645;
Δ = b2-4ac
Δ = 02-4·5·(-2645)
Δ = 52900
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{52900}=230$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-230}{2*5}=\frac{-230}{10}
=-23
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+230}{2*5}=\frac{230}{10}
=23
$