SOLUTION: Find the perfect square trinomial whose first two terms are given. x^2 + 1/5x

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Question 841713: Find the perfect square trinomial whose first two terms are given.
x^2 + 1/5x
Answer by hovuquocan1997(83) About Me  (Show Source):
You can put this solution on YOUR website!
A quadratic function, or in this case you call it trinomial, always have a form like this ax%5E2+%2B+bx+%2B+c
In this case you have x%5E2+%2B+%281%2F5%29x
That means you have a = 1, b = 1/5 and you're asked to find c
We have a formula
b+=+2%2Asqrt%28a%29%2Asqrt%28c%29
In this case, it will become
1%2F5+=+2%2Asqrt%281%29%2Asqrt%28c%29
1%2F5+=+2%2A1%2Asqrt%28c%29
1%2F5+=+2%2Asqrt%28c%29
sqrt%28c%29+=+1%2F10
c+=+%281%2F10%29%5E2
c+=+1%2F100
TA-DAH
:D