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2x^2+6x-7912=0
a = 2; b = 6; c = -7912;
Δ = b2-4ac
Δ = 62-4·2·(-7912)
Δ = 63332
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{63332}=\sqrt{4*15833}=\sqrt{4}*\sqrt{15833}=2\sqrt{15833}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(6)-2\sqrt{15833}}{2*2}=\frac{-6-2\sqrt{15833}}{4} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(6)+2\sqrt{15833}}{2*2}=\frac{-6+2\sqrt{15833}}{4} $
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