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224=3.5r^2
We move all terms to the left:
224-(3.5r^2)=0
We get rid of parentheses
-3.5r^2+224=0
a = -3.5; b = 0; c = +224;
Δ = b2-4ac
Δ = 02-4·(-3.5)·224
Δ = 3136
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}$$r_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$\sqrt{\Delta}=\sqrt{3136}=56$$r_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-56}{2*-3.5}=\frac{-56}{-7} =+8 $$r_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+56}{2*-3.5}=\frac{56}{-7} =-8 $
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