What value of c makes x2 + 6x + c a perfect square trinomial?
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Answered by
24
The quadratic expression:
x² + bx + c is a perfect square if the square of half the coefficient of x equal c
That is, it is a perfect square if:
(b/2)² = c
In x² + 6x + c
c = (6/2)²
c = 3²
c = 9
x² + bx + c is a perfect square if the square of half the coefficient of x equal c
That is, it is a perfect square if:
(b/2)² = c
In x² + 6x + c
c = (6/2)²
c = 3²
c = 9
Answered by
14
Answer:
Step-by-step explanation:
The quadratic expression:
x² + bx + c is a perfect square if the square of half the coefficient of x equal c
That is, it is a perfect square if:
(b/2)² = c
In x² + 6x + c
c = (6/2)²
c = 3²
c = 9
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