4f^2+33f=0

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Solution for 4f^2+33f=0 equation:



4f^2+33f=0
a = 4; b = 33; c = 0;
Δ = b2-4ac
Δ = 332-4·4·0
Δ = 1089
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$f_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$f_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1089}=33$
$f_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(33)-33}{2*4}=\frac{-66}{8} =-8+1/4 $
$f_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(33)+33}{2*4}=\frac{0}{8} =0 $

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