Chapter 6: Q 6.93 (page 618)

Solve $(2 m + 1) (m + 3) = 12 m$

Short Answer

Expert verified

The value is $m = 1, \frac{3}{2}$

Step by step solution

Given information

Given the equation $(2 m + 1) (m + 3) = 12 m$

Multiply the binomials

Multiplying the binomials, we get

$2 m^{2} + 6 m + m + 3 = 12 m 2 m^{2} + 7 m + 3 = 12 m 2 m^{2} - 5 m + 3 = 0 2 m^{2} - 3 m - 2 m + 3 = 0 m (2 m - 3) - 1 (2 m - 3) = 0 (m - 1) (2 m - 3) = 0 m = 1, \frac{3}{2}$

Checking the values

Substituting and checking the values, we have

$(2 \times 1 + 1) (1 + 3) = 12 \times 1 (3) (4) = 12 12 = 12 (2 \times \frac{3}{2} + 1) (\frac{3}{2} + 3) = 12 \times \frac{3}{2} 4 \times \frac{9}{2} = 18 18 = 18$

So this is correct

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Solve $(2 m + 1) (m + 3) = 12 m$

Short Answer

Step by step solution

Given information

Multiply the binomials

Checking the values

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Solve (2m+1)(m+3)=12m

Short Answer

Step by step solution

Given information

Multiply the binomials

Checking the values

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Probability and Statistics

Geometry

Discrete Mathematics

Mechanics Maths

Applied Mathematics

Theoretical and Mathematical Physics

Study anywhere. Anytime. Across all devices.

Solve $(2 m + 1) (m + 3) = 12 m$