x^2+5x-734=0

Solution for x^2+5x-734=0 equation:

x^2+5x-734=0

a = 1; b = 5; c = -734;
Δ = b2-4ac
Δ = 52-4·1·(-734)
Δ = 2961
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:

$\sqrt{\Delta}=\sqrt{2961}=\sqrt{9*329}=\sqrt{9}*\sqrt{329}=3\sqrt{329}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(5)-3\sqrt{329}}{2*1}=\frac{-5-3\sqrt{329}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(5)+3\sqrt{329}}{2*1}=\frac{-5+3\sqrt{329}}{2}
$