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8m^2+22m+5=0
a = 8; b = 22; c = +5;
Δ = b2-4ac
Δ = 222-4·8·5
Δ = 324
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}$$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$\sqrt{\Delta}=\sqrt{324}=18$$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(22)-18}{2*8}=\frac{-40}{16} =-2+1/2 $$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(22)+18}{2*8}=\frac{-4}{16} =-1/4 $
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