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ra1l [238]
3 years ago
15

If 9x²+Px+25 is a perfect square, then find the value of P​

Mathematics
2 answers:
kvv77 [185]3 years ago
8 0
30 is the value of P
Steps:
A perfect square follows the pattern a^2+2ab+b^2\\\boxed{a=3,b=5}\\\boxed{2ab=30}
lorasvet [3.4K]3 years ago
6 0

Answer:

P = 30

Step-by-step explanation:

A perfect square of the form

(ax + b)² = a²x² + 2abx + b²

9x² = (3x)² ⇒ a = 3 and 25 = 5² ⇒ b = 5

2abx = 2 × 3 × 5x = 30x

9x² + 30x + 25 = (3x + 5)² ← a perfect square

P = 2ab = 30

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3 years ago
I need Advice preferably from 10th graders and up.
Lera25 [3.4K]

Life Advice:

I, too have experienced a huge fall in my math grades. I'm currently in high school and I have maybe 2 assignments done in my entire school year of math. I have almost no problem with any other subject, I just can't <em>motivate myself to do math</em>. I have a hard time ever even considering catching up, and I personally do not know if I will.

You might have the same problem I do, which is just lack of motivation.

If I were you I would provide some sort of incentive to get yourself to do it more efficiently and better yet, more enjoyably. I also advise listening to music that can get you in a good mood. Both of these things have been a huge help for me to stay motivated in other classes, and they may even help you with math.

I would also recommend getting some kind of a personal tutor. A friend, a worker at school, one of your math teachers. Never feel embarrassed to tell them you're behind. People will almost always be understanding when it comes to helping someone learn something they're behind on.

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I, personally, am going to get a really beat-up pickup truck if it lasts till the end of my school year.

I hope this helped!

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Your friend in life,

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