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dalvyx [7]
3 years ago
6

What value of c makes the trinomial below a perfect square x2 + 7x + c?

Mathematics
2 answers:
Daniel [21]3 years ago
5 0
We have that
x²<span> + 7x + c
</span><span>Group terms that contain the same variable
</span>(x² + 7x )+ c
<span>Complete the square. Remember to balance the equation 
</span>(x² + 7x+3.5² )+ c-3.5²

Rewrite as perfect squares

(x+3.5)²+ c-3.5²
so
c-3.5² must be zero
c-3.5²=0------- c=3.5²------> c=12.25

the answer is
the value of c must be 12.25

STatiana [176]3 years ago
5 0

Answer:49/4

Step-by-step explanation:

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