-11x^2-10+43x=0

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Solution for -11x^2-10+43x=0 equation:



-11x^2-10+43x=0
a = -11; b = 43; c = -10;
Δ = b2-4ac
Δ = 432-4·(-11)·(-10)
Δ = 1409
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{-(43)-\sqrt{1409}}{2*-11}=\frac{-43-\sqrt{1409}}{-22} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(43)+\sqrt{1409}}{2*-11}=\frac{-43+\sqrt{1409}}{-22} $

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