X^2-34x-946=0

Solution for X^2-34x-946=0 equation:

X^2-34X-946=0

a = 1; b = -34; c = -946;
Δ = b2-4ac
Δ = -342-4·1·(-946)
Δ = 4940
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:

$\sqrt{\Delta}=\sqrt{4940}=\sqrt{4*1235}=\sqrt{4}*\sqrt{1235}=2\sqrt{1235}$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-34)-2\sqrt{1235}}{2*1}=\frac{34-2\sqrt{1235}}{2}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-34)+2\sqrt{1235}}{2*1}=\frac{34+2\sqrt{1235}}{2}
$