-3=5x-4x2

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Solution for -3=5x-4x2 equation:



-3=5x-4x^2
We move all terms to the left:
-3-(5x-4x^2)=0
We get rid of parentheses
4x^2-5x-3=0
a = 4; b = -5; c = -3;
Δ = b2-4ac
Δ = -52-4·4·(-3)
Δ = 73
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{73}}{2*4}=\frac{5-\sqrt{73}}{8} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-5)+\sqrt{73}}{2*4}=\frac{5+\sqrt{73}}{8} $

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