10x^2+3x-21=0

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Solution for 10x^2+3x-21=0 equation:



10x^2+3x-21=0
a = 10; b = 3; c = -21;
Δ = b2-4ac
Δ = 32-4·10·(-21)
Δ = 849
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{-(3)-\sqrt{849}}{2*10}=\frac{-3-\sqrt{849}}{20} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(3)+\sqrt{849}}{2*10}=\frac{-3+\sqrt{849}}{20} $

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