4x^2+12x-135=0

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Solution for 4x^2+12x-135=0 equation:



4x^2+12x-135=0
a = 4; b = 12; c = -135;
Δ = b2-4ac
Δ = 122-4·4·(-135)
Δ = 2304
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{2304}=48$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(12)-48}{2*4}=\frac{-60}{8} =-7+1/2 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(12)+48}{2*4}=\frac{36}{8} =4+1/2 $

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