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7m^2-29m+4=0
a = 7; b = -29; c = +4;
Δ = b2-4ac
Δ = -292-4·7·4
Δ = 729
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{729}=27$$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-29)-27}{2*7}=\frac{2}{14} =1/7 $$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-29)+27}{2*7}=\frac{56}{14} =4 $
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