3x2-146x+24=0

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Solution for 3x2-146x+24=0 equation:



3x^2-146x+24=0
a = 3; b = -146; c = +24;
Δ = b2-4ac
Δ = -1462-4·3·24
Δ = 21028
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:
$\sqrt{\Delta}=\sqrt{21028}=\sqrt{4*5257}=\sqrt{4}*\sqrt{5257}=2\sqrt{5257}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-146)-2\sqrt{5257}}{2*3}=\frac{146-2\sqrt{5257}}{6} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-146)+2\sqrt{5257}}{2*3}=\frac{146+2\sqrt{5257}}{6} $

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