x^2+29.4x-890.7=0

Solution for x^2+29.4x-890.7=0 equation:

x^2+29.4x-890.7=0

a = 1; b = 29.4; c = -890.7;
Δ = b2-4ac
Δ = 29.42-4·1·(-890.7)
Δ = 4427.16
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{-(29.4)-\sqrt{4427.16}}{2*1}=\frac{-29.4-\sqrt{4427.16}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(29.4)+\sqrt{4427.16}}{2*1}=\frac{-29.4+\sqrt{4427.16}}{2}
$