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(8(x^2))-(18x)-8=0
determiningTheFunctionDomain 8x^2-18x-8=0
a = 8; b = -18; c = -8;
Δ = b2-4ac
Δ = -182-4·8·(-8)
Δ = 580
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{580}=\sqrt{4*145}=\sqrt{4}*\sqrt{145}=2\sqrt{145}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-18)-2\sqrt{145}}{2*8}=\frac{18-2\sqrt{145}}{16} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-18)+2\sqrt{145}}{2*8}=\frac{18+2\sqrt{145}}{16} $
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