17m2-13=2860

Solution for 17m2-13=2860 equation:

17m^2-13=2860

We move all terms to the left:

17m^2-13-(2860)=0

We add all the numbers together, and all the variables

17m^2-2873=0

a = 17; b = 0; c = -2873;
Δ = b2-4ac
Δ = 02-4·17·(-2873)
Δ = 195364
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{195364}=442$
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-442}{2*17}=\frac{-442}{34}
=-13
$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+442}{2*17}=\frac{442}{34}
=13
$