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2440.36=r^2+2.4r^2
We move all terms to the left:
2440.36-(r^2+2.4r^2)=0
We get rid of parentheses
-r^2-2.4r^2+2440.36=0
We add all the numbers together, and all the variables
-3.4r^2+2440.36=0
a = -3.4; b = 0; c = +2440.36;
Δ = b2-4ac
Δ = 02-4·(-3.4)·2440.36
Δ = 33188.896
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{33188.896}}{2*-3.4}=\frac{0-\sqrt{33188.896}}{-6.8} =-\frac{\sqrt{}}{-6.8} $$r_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{33188.896}}{2*-3.4}=\frac{0+\sqrt{33188.896}}{-6.8} =\frac{\sqrt{}}{-6.8} $
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