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8x^2+38x+24=0
a = 8; b = 38; c = +24;
Δ = b2-4ac
Δ = 382-4·8·24
Δ = 676
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{676}=26$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(38)-26}{2*8}=\frac{-64}{16} =-4 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(38)+26}{2*8}=\frac{-12}{16} =-3/4 $
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