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8x^2+3x-176=0
a = 8; b = 3; c = -176;
Δ = b2-4ac
Δ = 32-4·8·(-176)
Δ = 5641
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{-(3)-\sqrt{5641}}{2*8}=\frac{-3-\sqrt{5641}}{16} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(3)+\sqrt{5641}}{2*8}=\frac{-3+\sqrt{5641}}{16} $
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