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# Factor the perfect square trinomial. x2 – 14 8 x + 49 64 ?

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- OrinocoLv 71 decade agoBest Answer
This is not a perfect square trinomial. For one thing, SQR(4964) is something like 70.4556598...

For another thing, 148/2 = 74

A perfect square trinomial is of the form (x-a)^2 = x^2 -2ax +a^2

You could solve your trinomial by completing the square

x^2 - 148x + 4964 = 0

x^2 - 148x + 4964 + 512 = 512 if you add 512 to both sides.

x^2 - 148x + 5476 = 512

(x-74)^2 = 512 = 2^9

x = 74 +/- SQR(512)

x = 74 +/- 16 SQR(2)

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