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polet [3.4K]
3 years ago
13

What value of b makes the polynomial x2+bc+16 a perfect square

Mathematics
1 answer:
Fynjy0 [20]3 years ago
3 0
For a perfect square

b² = 4*a*c

Comparing ax² + bx + c = 0 to x² + bx + 16

a = 1,    c = 16

<span>b² = 4*a*c
</span>
<span>b² = 4*1*16
</span>
<span>b² = 64
</span>
b = √64

b = 8

The value of b = 8.
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