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4m^2-16m-9=0
a = 4; b = -16; c = -9;
Δ = b2-4ac
Δ = -162-4·4·(-9)
Δ = 400
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{400}=20$$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-16)-20}{2*4}=\frac{-4}{8} =-1/2 $$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-16)+20}{2*4}=\frac{36}{8} =4+1/2 $
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