What value of c makes the trinomial below a perfect square x2 + 10x + c?

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asked Aug 7, 2018 106k views

1 Answer

Altan · Answer 1 · 2018-08-13T06:12:54+0000

hello :
x² + 10x + c
calculate the discriminant Δ = b²-4ac a = 1 b = 10 c = c
Δ = 10²-4c
the trinomial below a perfect square when : Δ = 0
10² -4c = 0
4c = 10²
c= 25
x²+10x+25 = x² +2(5)x+5² = (x+5)²

What value of c makes the trinomial below a perfect square x2 + 10x + c?

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