8x2=72+x

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Solution for 8x2=72+x equation:



8x^2=72+x
We move all terms to the left:
8x^2-(72+x)=0
We add all the numbers together, and all the variables
8x^2-(x+72)=0
We get rid of parentheses
8x^2-x-72=0
We add all the numbers together, and all the variables
8x^2-1x-72=0
a = 8; b = -1; c = -72;
Δ = b2-4ac
Δ = -12-4·8·(-72)
Δ = 2305
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{-(-1)-\sqrt{2305}}{2*8}=\frac{1-\sqrt{2305}}{16} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1)+\sqrt{2305}}{2*8}=\frac{1+\sqrt{2305}}{16} $

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