8x2+6x-20=0

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Solution for 8x2+6x-20=0 equation:



8x^2+6x-20=0
a = 8; b = 6; c = -20;
Δ = b2-4ac
Δ = 62-4·8·(-20)
Δ = 676
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{676}=26$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(6)-26}{2*8}=\frac{-32}{16} =-2 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(6)+26}{2*8}=\frac{20}{16} =1+1/4 $

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