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3 years ago

Which value of b would make 16x²-bx + 25 a perfect square trinomial?

Mathematics

1 answer:

blondinia [14]3 years ago

8 0

Answer:

b = 40 and -40

Step-by-step explanation:

General form of Perfect square trinomial is a 2 + 2 a b + b 2

Therefore from 16 x 2 − b x + 25 a 2 = √ 16 x 2 , b 2 = 25 , then a = ± 4 x , b = ± 5 take consideration a=4x and b=-5 (different sign), then − b x = 2 ( 4 x ) ( − 5 ) − b x = − 40 x b = 40

The perfect square is ( 4 x − 5 ) 2 = 16 x 2 − 40 x + 25 .

if we consider a=4x and b=5 (same sign), then − b x = 2 ( 4 x ) ( 5 ) − b x = 40 x b = − 40

The perfect square is ( 4 x + 5 ) 2 = 16 x 2 + 40 x + 25 .

The first solution ( 4 x − 5 ) 2 is the best solution after comparing the expression given. I hope this helps, xx .

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3 years ago

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2 years ago

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2 years ago

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emmasim [6.3K]

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2 years ago

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Step-by-step explanation:

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so, the given domain tells us the interval to look at.

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2 years ago