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-28r=4(r*r)
We move all terms to the left:
-28r-(4(r*r))=0
We add all the numbers together, and all the variables
-28r-(4(+r*r))=0
We calculate terms in parentheses: -(4(+r*r)), so:determiningTheFunctionDomain -4r^2-28r=0
4(+r*r)
We multiply parentheses
4r^2
Back to the equation:
-(4r^2)
a = -4; b = -28; c = 0;
Δ = b2-4ac
Δ = -282-4·(-4)·0
Δ = 784
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{784}=28$$r_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-28)-28}{2*-4}=\frac{0}{-8} =0 $$r_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-28)+28}{2*-4}=\frac{56}{-8} =-7 $
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