dancergirlaniya2 dancergirlaniya2
  • 01-05-2020
  • Mathematics
contestada

Find the value of c that makes x^2+26x+c a perfect-square trinomial.

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asdfghjklm22 asdfghjklm22
  • 01-05-2020
c = 169

square is (x + 13)^2

Explanation:

In the form:
ax^2+ bx +c
to complete the square a = 1 is required.
c = (b/2)^2
the square term is b/2
x^2 + 26x + c
a = 1 so we are okay to complete the square.
b = 26
c = (26/2)^2 = 13^2 = 169
finally to complete the square:
x^2 + 26x + 169 = (x+b/2)^2 = (x+13)^2
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