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What is the greatest value of x for which (3x – 2)(x + 1) =
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08 Apr 2018, 10:12
08 Apr 2018, 10:12
Expert Reply
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Question Stats:
77% (00:33) correct
22% (00:30) wrong based on 22 sessions
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What is the greatest value of x for which (3x – 2)(x + 1) = 0 ?
A. \(-1\)
B. \(\frac{-2}{3}\)
C. \(\frac{2}{3}\)
D. 1
E. 2
A. \(-1\)
B. \(\frac{-2}{3}\)
C. \(\frac{2}{3}\)
D. 1
E. 2
Drill 2
Question: 11
Page: 509
Question: 11
Page: 509
Re: What is the greatest value of x for which (3x – 2)(x + 1) =
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08 Apr 2018, 18:50
08 Apr 2018, 18:50
1
(3x – 2)(x + 1) = 0
So either (3x – 2)=0 or (x + 1) = 0
If 3x-2 =0, Solving for x gives 2/3
Solving for x in x+1 gives x= -1.
So x can have 2 values, 2/3 or -1. Only in these 2 cases the overall equation will be equal to zero.
As 1 > -2/3
Hence Answer is 3.
So either (3x – 2)=0 or (x + 1) = 0
If 3x-2 =0, Solving for x gives 2/3
Solving for x in x+1 gives x= -1.
So x can have 2 values, 2/3 or -1. Only in these 2 cases the overall equation will be equal to zero.
As 1 > -2/3
Hence Answer is 3.
Re: What is the greatest value of x for which (3x – 2)(x + 1) =
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18 Apr 2018, 15:37
18 Apr 2018, 15:37
Expert Reply
Explanation
The expression on the left side of the equation will equal zero when either (3x – 2) = 0 or (x + 1) = 0.
Solving these equations yields \(x=\frac{2}{3}\) or x = –1. The question asks you for the greatest value of x, so the answer is choice (C).
The expression on the left side of the equation will equal zero when either (3x – 2) = 0 or (x + 1) = 0.
Solving these equations yields \(x=\frac{2}{3}\) or x = –1. The question asks you for the greatest value of x, so the answer is choice (C).
