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x^2+8x=-7

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x^2+8x=-7 [#permalink] New post   24 May 2023, 06:12
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\(x^2+8x=-7\)


Quantity A
Quantity B
x
0



A Quantity A is greater.
B Quantity B is greater.
C The two quantities are equal.
D The relationship cannot be determined from the information given.


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x^2+8x=-7 [#permalink] New post   28 May 2023, 09:37
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\(x^2+8x+7=0\)

Factor out

\((x+7)(x+1)\)

x=-7
x=-1

both are negative and QB is zero

B>A
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Re: x^2+8x=-7 [#permalink] New post   04 Aug 2024, 01:04
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The question stem says x^2 + 8x = -7, so shouldn't the quadratic equation then be, x^2 + 8x + 7 = 0.

This would then yield the answer for x = 1, 7

Hence, shouldn't Quantity A > Quantity B?
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Re: x^2+8x=-7 [#permalink] New post   04 Aug 2024, 10:44
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No when you factor out the expression the two roots are

(x+7)(x+1)

the sum is 8 and the product is +7

equate to zero

x+7=0 and x+1=0

x=-7 and x=-1

Even if you google have the two negative roots

https://www.google.com/search?q=x2%2B8x ... e&ie=UTF-8
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Re: x^2+8x=-7 [#permalink]
04 Aug 2024, 10:44
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