3x^2+26x-7=0

Solution for 3x^2+26x-7=0 equation:

3x^2+26x-7=0

a = 3; b = 26; c = -7;
Δ = b2-4ac
Δ = 262-4·3·(-7)
Δ = 760
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:

$\sqrt{\Delta}=\sqrt{760}=\sqrt{4*190}=\sqrt{4}*\sqrt{190}=2\sqrt{190}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(26)-2\sqrt{190}}{2*3}=\frac{-26-2\sqrt{190}}{6}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(26)+2\sqrt{190}}{2*3}=\frac{-26+2\sqrt{190}}{6}
$