71x^2-127x-300=0

Solution for 71x^2-127x-300=0 equation:

71x^2-127x-300=0

a = 71; b = -127; c = -300;
Δ = b2-4ac
Δ = -1272-4·71·(-300)
Δ = 101329
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-127)-\sqrt{101329}}{2*71}=\frac{127-\sqrt{101329}}{142}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-127)+\sqrt{101329}}{2*71}=\frac{127+\sqrt{101329}}{142}
$