4r^2-9r+3=0

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Solution for 4r^2-9r+3=0 equation: 



4r^2-9r+3=0

a = 4; b = -9; c = +3;
Δ = b2-4ac
Δ = -92-4·4·3
Δ = 33
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$r_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$r_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$r_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-9)-\sqrt{33}}{2*4}=\frac{9-\sqrt{33}}{8}
$


$r_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-9)+\sqrt{33}}{2*4}=\frac{9+\sqrt{33}}{8}
$

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