x2+25x-174=0

Solution for x2+25x-174=0 equation:

x2+25x-174=0

We add all the numbers together, and all the variables

x^2+25x-174=0

a = 1; b = 25; c = -174;
Δ = b2-4ac
Δ = 252-4·1·(-174)
Δ = 1321
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{-(25)-\sqrt{1321}}{2*1}=\frac{-25-\sqrt{1321}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(25)+\sqrt{1321}}{2*1}=\frac{-25+\sqrt{1321}}{2}
$