3x^2-23x*30=0

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Solution for 3x^2-23x*30=0 equation:



3x^2-23x*30=0
Wy multiply elements
3x^2-690x=0
a = 3; b = -690; c = 0;
Δ = b2-4ac
Δ = -6902-4·3·0
Δ = 476100
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{476100}=690$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-690)-690}{2*3}=\frac{0}{6} =0 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-690)+690}{2*3}=\frac{1380}{6} =230 $

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