X2-5x-150=0

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Solution for X2-5x-150=0 equation:



X2-5X-150=0
We add all the numbers together, and all the variables
X^2-5X-150=0
a = 1; b = -5; c = -150;
Δ = b2-4ac
Δ = -52-4·1·(-150)
Δ = 625
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{625}=25$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-5)-25}{2*1}=\frac{-20}{2} =-10 $
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-5)+25}{2*1}=\frac{30}{2} =15 $

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