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5m^2-10m-175=0
a = 5; b = -10; c = -175;
Δ = b2-4ac
Δ = -102-4·5·(-175)
Δ = 3600
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{3600}=60$$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-10)-60}{2*5}=\frac{-50}{10} =-5 $$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-10)+60}{2*5}=\frac{70}{10} =7 $
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