13p2-3=4209

Solution for 13p2-3=4209 equation:

13p^2-3=4209

We move all terms to the left:

13p^2-3-(4209)=0

We add all the numbers together, and all the variables

13p^2-4212=0

a = 13; b = 0; c = -4212;
Δ = b2-4ac
Δ = 02-4·13·(-4212)
Δ = 219024
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$p_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$p_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{219024}=468$
$p_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-468}{2*13}=\frac{-468}{26}
=-18
$
$p_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+468}{2*13}=\frac{468}{26}
=18
$