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nexus9112 [7]
3 years ago
8

4b×3b-2b=102 what is b

Mathematics
2 answers:
jeka943 years ago
7 0
4b×3b-2b=102
12b^2 - 2b = 102
12b^2 - 2b - 102 = 0
divide by 2
6b^2 - b - 51
(6b + 17)(b - 3) = 0
6b + 17 = 0
6b = -17
b = -17/6 or 2 5/6
b - 3 = 0
b = 3
Over [174]3 years ago
7 0
4b\cdot3b-2b=102\\
12b^2-2b-102=0\\
6b^2-b-51=0\\
6b^2+17b-18b-51=0\\
b(6b+17)-3(6b+17)=0\\
(b-3)(6b+17)=0\\\
b=3 \vee b=-\frac{17}{6}
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To factor,

<h2>[[[</h2>

1) First multiply coefficient of a² and constant no,

That is,

3×(-42)=-126

Since the<u> resultant no is negative</u>, you should find two such factors of 126 <u>which</u> <u>will give us the coefficient of a (=11)</u> on subracting those factors.

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<h2>]]]</h2>

Once you have understood above steps you can solve on your own. All you need to do is split 11 into factors ,take common terms and you will get answer.

<u>Answer:</u>

3a²+11a-42

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