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notka56 [123]
4 years ago
9

What makes x^2-10x+ a perfect square trinomial?

Mathematics
1 answer:
prohojiy [21]4 years ago
8 0
For this case we have the following trinomial:
 x^2 - 10x + a

 We must complete squares to make it a perfect trinomial.
 Therefore, the value of a is given by:
 a = (-10/2) ^ 2

 Rewriting:
 a = (-5) ^ 2

a = 25
 Then, the polynomial is:
 x ^ 2 - 10x + 25

 Rewriting as a perfect square:
 x ^ 2 - 10x + 25 = (x - 5) ^ 2

 Answer:
 
The value of a is:
 
a = 25
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