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2x^2+4x-30=0
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28 Jul 2020, 10:43
28 Jul 2020, 10:43
Expert Reply
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Question Stats:
95% (00:44) correct
4% (00:52) wrong based on 43 sessions
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\(2x^2+4x-30=0\)
A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
Kudos for the right answer and explanation
Quantity A |
Quantity B |
The product of the roots of the equation |
The sum of the roots of the equation |
A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
Kudos for the right answer and explanation
Re: 2x^2+4x-30=0
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28 Jul 2020, 10:59
28 Jul 2020, 10:59
1
We can write equation as x^2+2x−15=0
Let roots be a and b.
So, (x-a)*(x-b) = x^2+2x−15
=> x^x - (a+b)x + ab = x^2+2x−15
=> a+b = -2 and ab = -15
So, the answer is B.
Let roots be a and b.
So, (x-a)*(x-b) = x^2+2x−15
=> x^x - (a+b)x + ab = x^2+2x−15
=> a+b = -2 and ab = -15
So, the answer is B.
Re: 2x^2+4x-30=0
[#permalink]
28 Jul 2020, 16:30
28 Jul 2020, 16:30
1
Carcass wrote:
\(2x^2+4x-30=0\)
A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
Quantity A |
Quantity B |
The product of the roots of the equation |
The sum of the roots of the equation |
A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
The equation can be simplified to 2(x+5)(x-3)=0. Therefore, the roots of the equation are -5 and 3.
Quantity A = (-5)(3) = -15. Quantity B = -5 + 3 = -2. Quantity B is greater.
