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3 years ago

A positive integer is 1010 more than 2727 times another. their product is 1211712117. find the two integers.

1 answer:

4 0

1010 + 2727x = y
x*y = 1211712117
x*(1010 + 2727x) = 1211712117
2727x^2 + 1010x - 1211712117 = 0

Here's the nasty part.
In order for this to work, the square root of the quadratic formula must come back with an integer. In fact sqrt (b^2 - 4ac) comes back with
3635568.29 something. which is not a whole number. Either there is an error in the givens or something, but this question is never going to do what you think it will do.

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This is Mrs. Galicia’s solution for the equation. Is Mrs. Galicia’s solution correct? Explain in complete sentences also, what a

horrorfan [7]

Given:

Given that Mrs. Galicia’s solution for the equation.

We need to determine whether Mrs. Galicia’s solution is correct or not.

Also, we need to determine the correct solutions.

Mrs. Galicia’s solution:

Step 4: $(x-4)^2=25$

Step 5: $x-4=25$

After step 4, Mrs. Galicia’s did not take square root on both sides to determine the value of x.

Thus, Mrs. Galicia’s made in mistake in step 5, by solving the equation without taking square root on both sides.

Hence, Mrs. Galicia’s solution is wrong.

Correct solutions:

The equation is $x^{2} -8x-9=0$

Solving, we get;

$x^2-8x=9$

Completing the square, we have;

$x^2-8x+16=9+16$

$(x-4)^2=25$

Taking square root on both sides, we get;

$x-4=\pm 5$

Thus, the values of x are given by

$x-4=5$ and $x-4=-5$

$x=9$ and $x=-1$

Thus, the correct solutions are x = 9 and x = -1

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3 years ago

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Yakvenalex [24]

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I hope this helped :)

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