4x2+7x-9=0

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Solution for 4x2+7x-9=0 equation:



4x^2+7x-9=0
a = 4; b = 7; c = -9;
Δ = b2-4ac
Δ = 72-4·4·(-9)
Δ = 193
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{-(7)-\sqrt{193}}{2*4}=\frac{-7-\sqrt{193}}{8} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(7)+\sqrt{193}}{2*4}=\frac{-7+\sqrt{193}}{8} $

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