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180=5(b)^2
We move all terms to the left:
180-(5(b)^2)=0
determiningTheFunctionDomain -5b^2+180=0
a = -5; b = 0; c = +180;
Δ = b2-4ac
Δ = 02-4·(-5)·180
Δ = 3600
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:$b_{1}=\frac{-b-\sqrt{\Delta}}{2a}$$b_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$\sqrt{\Delta}=\sqrt{3600}=60$$b_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-60}{2*-5}=\frac{-60}{-10} =+6 $$b_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+60}{2*-5}=\frac{60}{-10} =-6 $
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