2m^2+9m-10=0

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Solution for 2m^2+9m-10=0 equation:



2m^2+9m-10=0
a = 2; b = 9; c = -10;
Δ = b2-4ac
Δ = 92-4·2·(-10)
Δ = 161
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{-(9)-\sqrt{161}}{2*2}=\frac{-9-\sqrt{161}}{4} $
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(9)+\sqrt{161}}{2*2}=\frac{-9+\sqrt{161}}{4} $

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