X2+5x=342

Solution for X2+5x=342 equation:

X2+5X=342

We move all terms to the left:

X2+5X-(342)=0

We add all the numbers together, and all the variables

X^2+5X-342=0

a = 1; b = 5; c = -342;
Δ = b2-4ac
Δ = 52-4·1·(-342)
Δ = 1393
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{-(5)-\sqrt{1393}}{2*1}=\frac{-5-\sqrt{1393}}{2}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(5)+\sqrt{1393}}{2*1}=\frac{-5+\sqrt{1393}}{2}
$