4b^2-4b=-1 A)0 B)1 C)2 D)3
2 answers:
Answer:
Step-by-step explanation:
Take out 4 from each term on the left.
4(B^2 - B) = -1 Divide both sides by 4
4(B^2 - B)/4 = - 1/4
(B^2 - B) = -1/4 Add 1/4 to both sides
B^2 - B + 1/4 = - 1/4+1/4
B^2 - B + 1/4 = 0
(b - 1/2)(b - 1/2)
This has 2 equal roots of (b - 1/2)(b - 1/2) or b = 1/2 , b = 1/2.
When that happens, the quadratic just touches the x axis (in this case at 1/2)
I've provided a graph to show you how this happens. None of your choices are what I'm getting. The answer is 1/2 no matter how it is factored.
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