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3 years ago

find two positive even consecutive integers such that a square of the smaller integer is 10 more than the larger integer

Mathematics

1 answer:

nalin [4]3 years ago

6 0

Answer:

the two positive consecutive integers are 4 and 6.

Step-by-step explanation:

Let the smaller integer be s; then s^2 = (s + 2) + 10.

Simplifying, s^2 - s - 2 - 10 = 0, or

s^2 - s - 12 = 0.

Solve this by factoring: (s - 4)(s + 3) = 0.

Then s = 4 and s = -3.

If the first even integer is 4, the next is 6. We omit s = -3 because it's not even.

The smaller integer is 4. Does this satisfy the equation s^2 = (s + 2) + 10?

4^2 = (4 + 2) + 10 True or False?

16 = 6 + 10 = 16.

True.

So the two positive consecutive integers are 4 and 6.

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s344n2d4d5 [400]

$\rule{50}{1}\large\textsf{\textbf{\underline{Question:-}}}\rule{50}{1}$

<em>What is the number sentence for "1 less than n is the sum of z and 2?"</em>

<em> </em> $\rule{50}{1}\large\blue\textsf{\textbf{\underline{Answer and how to solve:-}}}\rule{50}{1}$

❖ First, Notice it says "1 less than n". This expression indicates that

we subtract 1 from n, which looks as follows:-

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Step-by-step explanation:

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This is your answer.

Step-by-step explanation:

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