X2-150x+1400=0

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Solution for X2-150x+1400=0 equation:



X2-150X+1400=0
We add all the numbers together, and all the variables
X^2-150X+1400=0
a = 1; b = -150; c = +1400;
Δ = b2-4ac
Δ = -1502-4·1·1400
Δ = 16900
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{16900}=130$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-150)-130}{2*1}=\frac{20}{2} =10 $
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-150)+130}{2*1}=\frac{280}{2} =140 $

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