30x^2-29x+4=0

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Solution for 30x^2-29x+4=0 equation: 



30x^2-29x+4=0

a = 30; b = -29; c = +4;
Δ = b2-4ac
Δ = -292-4·30·4
Δ = 361
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{361}=19$


$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-29)-19}{2*30}=\frac{10}{60}
=1/6
$


$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-29)+19}{2*30}=\frac{48}{60}
=4/5
$

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