10x^2+76x+144=0

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Solution for 10x^2+76x+144=0 equation:



10x^2+76x+144=0
a = 10; b = 76; c = +144;
Δ = b2-4ac
Δ = 762-4·10·144
Δ = 16
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{16}=4$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(76)-4}{2*10}=\frac{-80}{20} =-4 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(76)+4}{2*10}=\frac{-72}{20} =-3+3/5 $

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