m^2-7m-9=0

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Solution for m^2-7m-9=0 equation:



m^2-7m-9=0
a = 1; b = -7; c = -9;
Δ = b2-4ac
Δ = -72-4·1·(-9)
Δ = 85
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-7)-\sqrt{85}}{2*1}=\frac{7-\sqrt{85}}{2} $
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-7)+\sqrt{85}}{2*1}=\frac{7+\sqrt{85}}{2} $

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