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605-655 (Medium)|   Algebra|      
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Bunuel
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If (x - 2*3^(1/2)) is one of the quadratic x^2 + (4 3^(1/2))x - 36 04 May 2021, 08:30
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C
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45% (medium)

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65% (01:43) correct 35% (02:13) wrong based on 241 sessions

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If \((x - 2 \sqrt{3})\) is one of the factors of quadratic \(x^2 + (4 \sqrt{3})x - 36,\) what is the other factor?


A. \(x + 2 \sqrt{3}\)

B. \(x + 4 \sqrt{3}\)

C. \(x + 6 \sqrt{3}\)

D. \(x - 2 \sqrt{3}\)

E. \(x - 6 \sqrt{3}\)
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C
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If (x - 2*3^(1/2)) is one of the quadratic x^2 + (4 3^(1/2))x - 36 04 May 2021, 08:49
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Bunuel
If \((x - 2 \sqrt{3})\) is one of the quadratic \(x^2 + (4 \sqrt{3})x - 36,\) what is the other factor?


A. \(x + 2 \sqrt{3}\)

B. \(x + 4 \sqrt{3}\)

C. \(x + 6 \sqrt{3}\)

D. \(x - 2 \sqrt{3}\)

E. \(x - 6 \sqrt{3}\)
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Hi Bunuel, I think there is a typo, "If \((x - 2 \sqrt{3})\) is one of the factors of the quadratic"
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If (x - 2*3^(1/2)) is one of the quadratic x^2 + (4 3^(1/2))x - 36 04 May 2021, 09:23
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Showmeyaa
Bunuel
If \((x - 2 \sqrt{3})\) is one of the quadratic \(x^2 + (4 \sqrt{3})x - 36,\) what is the other factor?


A. \(x + 2 \sqrt{3}\)

B. \(x + 4 \sqrt{3}\)

C. \(x + 6 \sqrt{3}\)

D. \(x - 2 \sqrt{3}\)

E. \(x - 6 \sqrt{3}\)

Hi Bunuel, I think there is a typo, "If \((x - 2 \sqrt{3})\) is one of the factors of the quadratic"
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Edited the typo. Thank you!
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If (x - 2*3^(1/2)) is one of the quadratic x^2 + (4 3^(1/2))x - 36 04 May 2021, 10:20
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E is the answer to this question
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twobagels
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If (x - 2*3^(1/2)) is one of the quadratic x^2 + (4 3^(1/2))x - 36 04 May 2021, 17:48
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(x - 2*\(\sqrt{3}\)) * (x + 6*\(\sqrt{3}\))

\(x^2\) + 4*\( \sqrt{3}\) x - 36

Answer, C.
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If (x - 2*3^(1/2)) is one of the quadratic x^2 + (4 3^(1/2))x - 36 30 Oct 2024, 07:42
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How to solve this problem?
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stne
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If (x - 2*3^(1/2)) is one of the quadratic x^2 + (4 3^(1/2))x - 36 31 Oct 2024, 10:26
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izihno
How to solve this problem?
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This is how I did it. Though it may not be the perfect algebraic way.

If \(x-2 \sqrt{3}\) is one factor then it means that \(x-2\sqrt{3}\) is a solution to the equation. Hence \(x= 2 \sqrt{3}\) is one value of \(x.\). You can put this value of \(x\) in the original eqn. and check.

Similarly among the options, one of the equations is a factor.

Lets check:

1} \(x+2 \sqrt{3} =\) If this is a factor then \(x = -2 \sqrt{3}\) is a solution. However on putting the value of this \(x\) in the original equation, we see that the eqn. is not satisfied.

Similarly we can check for others.

We have that option three. i.e \(x = -6 \sqrt{3}\) satisfies the original equation. Hence it is correct.

Ans C

Hope it helped.
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If (x - 2*3^(1/2)) is one of the quadratic x^2 + (4 3^(1/2))x - 36 03 Nov 2025, 16:05
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