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Brrunno [24]
3 years ago
10

What value of c makes the trinomial below a perfect square? x^2+9x+c

Mathematics
2 answers:
VLD [36.1K]3 years ago
5 0

Answer:

(\frac{9}{2})^{2}

Step-by-step explanation:

In order to calculate this you just have to rememer the quadratic formula:

a^{2} +2ab+b^{2}

So we know that 2ab=9x, if we clear that ecuation we can solve the value for b:

9x=2ab\\b=\frac{9x}{2x} \\b=\frac{9}{2}

And now we know that b=9/2 and to complete the perfect square we just multiply to the square:

(\frac{9}{2})^{2}

lyudmila [28]3 years ago
4 0
81/4 is the answer , use formula (b/2) squared
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