8x^2+7=655

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Solution for 8x^2+7=655 equation:



8x^2+7=655
We move all terms to the left:
8x^2+7-(655)=0
We add all the numbers together, and all the variables
8x^2-648=0
a = 8; b = 0; c = -648;
Δ = b2-4ac
Δ = 02-4·8·(-648)
Δ = 20736
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{20736}=144$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-144}{2*8}=\frac{-144}{16} =-9 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+144}{2*8}=\frac{144}{16} =9 $

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