8x^2+5x=7

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Solution for 8x^2+5x=7 equation:



8x^2+5x=7
We move all terms to the left:
8x^2+5x-(7)=0
a = 8; b = 5; c = -7;
Δ = b2-4ac
Δ = 52-4·8·(-7)
Δ = 249
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{-(5)-\sqrt{249}}{2*8}=\frac{-5-\sqrt{249}}{16} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(5)+\sqrt{249}}{2*8}=\frac{-5+\sqrt{249}}{16} $

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