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2.1-p(2)=-4.7
We move all terms to the left:
2.1-p(2)-(-4.7)=0
We add all the numbers together, and all the variables
-1p^2+6.8=0
a = -1; b = 0; c = +6.8;
Δ = b2-4ac
Δ = 02-4·(-1)·6.8
Δ = 27.2
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{27.2}}{2*-1}=\frac{0-\sqrt{27.2}}{-2} =-\frac{\sqrt{}}{-2} $$p_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{27.2}}{2*-1}=\frac{0+\sqrt{27.2}}{-2} =\frac{\sqrt{}}{-2} $
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