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2m^2+7m-22=0
a = 2; b = 7; c = -22;
Δ = b2-4ac
Δ = 72-4·2·(-22)
Δ = 225
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{225}=15$$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(7)-15}{2*2}=\frac{-22}{4} =-5+1/2 $$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(7)+15}{2*2}=\frac{8}{4} =2 $
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