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=6.7P^2+P
We move all terms to the left:
-(6.7P^2+P)=0
We get rid of parentheses
-6.7P^2-P=0
We add all the numbers together, and all the variables
-6.7P^2-1P=0
a = -6.7; b = -1; c = 0;
Δ = b2-4ac
Δ = -12-4·(-6.7)·0
Δ = 1
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:$P_{1}=\frac{-b-\sqrt{\Delta}}{2a}$$P_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$\sqrt{\Delta}=\sqrt{1}=1$$P_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-1)-1}{2*-6.7}=\frac{0}{-13.4} =0 $$P_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1)+1}{2*-6.7}=\frac{2}{-13.4} =-2/13.4 $
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