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-10m^2=-25000
We move all terms to the left:
-10m^2-(-25000)=0
We add all the numbers together, and all the variables
-10m^2+25000=0
a = -10; b = 0; c = +25000;
Δ = b2-4ac
Δ = 02-4·(-10)·25000
Δ = 1000000
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{1000000}=1000$$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-1000}{2*-10}=\frac{-1000}{-20} =+50 $$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+1000}{2*-10}=\frac{1000}{-20} =-50 $
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