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3.14x^2=(78.5)
We move all terms to the left:
3.14x^2-((78.5))=0
We add all the numbers together, and all the variables
3.14x^2-78.5=0
a = 3.14; b = 0; c = -78.5;
Δ = b2-4ac
Δ = 02-4·3.14·(-78.5)
Δ = 985.96
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-\sqrt{985.96}}{2*3.14}=\frac{0-\sqrt{985.96}}{6.28} =-\frac{\sqrt{}}{6.28} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{985.96}}{2*3.14}=\frac{0+\sqrt{985.96}}{6.28} =\frac{\sqrt{}}{6.28} $
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