8x2+15x+7=0

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Solution for 8x2+15x+7=0 equation:



8x^2+15x+7=0
a = 8; b = 15; c = +7;
Δ = b2-4ac
Δ = 152-4·8·7
Δ = 1
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1}=1$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(15)-1}{2*8}=\frac{-16}{16} =-1 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(15)+1}{2*8}=\frac{-14}{16} =-7/8 $

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