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-7m^2=-252
We move all terms to the left:
-7m^2-(-252)=0
We add all the numbers together, and all the variables
-7m^2+252=0
a = -7; b = 0; c = +252;
Δ = b2-4ac
Δ = 02-4·(-7)·252
Δ = 7056
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{7056}=84$$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-84}{2*-7}=\frac{-84}{-14} =+6 $$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+84}{2*-7}=\frac{84}{-14} =-6 $
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