8m^2-51m-35=0

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Solution for 8m^2-51m-35=0 equation:



8m^2-51m-35=0
a = 8; b = -51; c = -35;
Δ = b2-4ac
Δ = -512-4·8·(-35)
Δ = 3721
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{3721}=61$
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-51)-61}{2*8}=\frac{-10}{16} =-5/8 $
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-51)+61}{2*8}=\frac{112}{16} =7 $

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