3 years ago

Where do I put each one into

Mathematics

1 answer:

svetlana [45]3 years ago

3 0

Monomial: 10xyx^3
Binomial: 8x^2 + 0.25, -x^2y^2 + 2y
Trinomial: x^3y^4 + 2x^2y -3z, -2x^2 - x +3.5

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The sum of the squares of two positive integers is 185. If one integer is 3 less than the other, fine the larger integer.

kari74 [83]

Answer:

$\boxed{\sf \ 11 \ }$

Step-by-step explanation:

Hi,

let's note the two integers a and b

$a^2+b^2=185 \ and \\\\a = b - 3$

We are asked to find b

<em>replace a in the first equation</em>

$(b-3)^2+b^2=185\\\\b^2-6b+9+b^2=185\\\\ 2b^2-6b+9-185=0\\\\ 2b^2-6b-176=0\\\\ b^2-3b-88=0\\\\b^2+8b-11b-88=0\\\\b(b+8)-11(b+8)=0\\\\(b-11)(b+8)=0\\\\ b = 11 \ or \ b = -8$

As b must be a positive integer, the solution is 11

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