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8x^2-x-69=0
We add all the numbers together, and all the variables
8x^2-1x-69=0
a = 8; b = -1; c = -69;
Δ = b2-4ac
Δ = -12-4·8·(-69)
Δ = 2209
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{2209}=47$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-1)-47}{2*8}=\frac{-46}{16} =-2+7/8 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1)+47}{2*8}=\frac{48}{16} =3 $
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