3x^2+5x=5456

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Solution for 3x^2+5x=5456 equation:



3x^2+5x=5456
We move all terms to the left:
3x^2+5x-(5456)=0
a = 3; b = 5; c = -5456;
Δ = b2-4ac
Δ = 52-4·3·(-5456)
Δ = 65497
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(5)-\sqrt{65497}}{2*3}=\frac{-5-\sqrt{65497}}{6} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(5)+\sqrt{65497}}{2*3}=\frac{-5+\sqrt{65497}}{6} $

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