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22.95=3.14(2x)^2
We move all terms to the left:
22.95-(3.14(2x)^2)=0
We get rid of parentheses
-3.142x^2+22.95=0
a = -3.142; b = 0; c = +22.95;
Δ = b2-4ac
Δ = 02-4·(-3.142)·22.95
Δ = 288.4356
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{288.4356}}{2*-3.142}=\frac{0-\sqrt{288.4356}}{-6.284} =-\frac{\sqrt{}}{-6.284} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{288.4356}}{2*-3.142}=\frac{0+\sqrt{288.4356}}{-6.284} =\frac{\sqrt{}}{-6.284} $
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