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r^2=8.7
We move all terms to the left:
r^2-(8.7)=0
We add all the numbers together, and all the variables
r^2-8.7=0
a = 1; b = 0; c = -8.7;
Δ = b2-4ac
Δ = 02-4·1·(-8.7)
Δ = 34.8
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:$r_{1}=\frac{-b-\sqrt{\Delta}}{2a}$$r_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$r_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-\sqrt{34.8}}{2*1}=\frac{0-\sqrt{34.8}}{2} =-\frac{\sqrt{}}{2} $$r_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{34.8}}{2*1}=\frac{0+\sqrt{34.8}}{2} =\frac{\sqrt{}}{2} $
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