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(13.7)(10.4)=(1.47)(p2)
We move all terms to the left:
(13.7)(10.4)-((1.47)(p2))=0
We add all the numbers together, and all the variables
-((1.47)p2)+142.48=0
We calculate terms in parentheses: -((1.47)p2), so:We get rid of parentheses
(1.47)p2
We multiply parentheses
1.47p^2
Back to the equation:
-(1.47p^2)
-1.47p^2+142.48=0
a = -1.47; b = 0; c = +142.48;
Δ = b2-4ac
Δ = 02-4·(-1.47)·142.48
Δ = 837.7824
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}$$p_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$p_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-\sqrt{837.7824}}{2*-1.47}=\frac{0-\sqrt{837.7824}}{-2.94} =-\frac{\sqrt{}}{-2.94} $$p_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{837.7824}}{2*-1.47}=\frac{0+\sqrt{837.7824}}{-2.94} =\frac{\sqrt{}}{-2.94} $
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