x^2+30x-29=0

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Solution for x^2+30x-29=0 equation:



x^2+30x-29=0
a = 1; b = 30; c = -29;
Δ = b2-4ac
Δ = 302-4·1·(-29)
Δ = 1016
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:
$\sqrt{\Delta}=\sqrt{1016}=\sqrt{4*254}=\sqrt{4}*\sqrt{254}=2\sqrt{254}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(30)-2\sqrt{254}}{2*1}=\frac{-30-2\sqrt{254}}{2} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(30)+2\sqrt{254}}{2*1}=\frac{-30+2\sqrt{254}}{2} $

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