4l^2+7l-135=0

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Solution for 4l^2+7l-135=0 equation:



4l^2+7l-135=0
a = 4; b = 7; c = -135;
Δ = b2-4ac
Δ = 72-4·4·(-135)
Δ = 2209
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$l_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$l_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{2209}=47$
$l_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(7)-47}{2*4}=\frac{-54}{8} =-6+3/4 $
$l_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(7)+47}{2*4}=\frac{40}{8} =5 $

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