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stiks02 [169]
3 years ago
12

Find the value c that will make 9x^2 +30x+c a perfect square trinomial

Mathematics
2 answers:
anzhelika [568]3 years ago
8 0

Answer:

c = 25

Step-by-step explanation:

<u>Given </u><u>:</u><u>-</u>

  • A quadratic equation is given to us.
  • The equation is 9x² + 30x + c .

And we need to find out the value of c for which the given trinomial is a perfect square. On looking at the given expression all the terms are having positive signs before them .So we can rewrite it on the basis of ,

<u>Identity</u><u> </u><u>:</u><u>-</u><u> </u>

\implies (a+b)^2=a^2+b^2+2ab

Let's try to set the equation on this Identity .

The firsr term is 9x² . We can write it as ,

\implies 9x^2=(3x)^2

Hence the middle term here should contain 3 and 2 as their factors. Let's Break the middle term .

\implies 30x = 2.3x.5

Therefore in order to make the whole expression as perfect square 5² must be replaced by c . The expression would become ,

\implies 9x^2+30x + 5^2 \\\\\implies (3x)^2+2.3x.5 +5^2\\\\\implies (3x+5)^2

<u>Hence </u><u>the </u><u>value </u><u>of </u><u>c </u><u>should</u><u> be</u><u> </u><u>2</u><u>5</u><u> </u><u>.</u>

Anika [276]3 years ago
5 0
C = 25 you just multiply step by step exactly how it shows it on the problem/how u wrote it
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