7x^2-27x-70=0

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Solution for 7x^2-27x-70=0 equation:



7x^2-27x-70=0
a = 7; b = -27; c = -70;
Δ = b2-4ac
Δ = -272-4·7·(-70)
Δ = 2689
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{-(-27)-\sqrt{2689}}{2*7}=\frac{27-\sqrt{2689}}{14} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-27)+\sqrt{2689}}{2*7}=\frac{27+\sqrt{2689}}{14} $

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