If $m+\frac{1}{m-2}=4$, then find the va

CUET Preparation Today

Start Free Mocks

Home Questions 47P32UCC83

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Algebra

Question:

If $m+\frac{1}{m-2}=4$, then find the value of $(m-2)^2+\frac{1}{(m-2)^2}$.

Options:

-2

Correct Answer:

Explanation:

If $m+\frac{1}{m-2}=4$

Subtract -2 on both the sides

If $m - 2 +\frac{1}{m-2}=4 - 2$

If $m - 2 +\frac{1}{m-2}=2$

Then the value of $(m-2)^2+\frac{1}{(m-2)^2}$ = 2² - 2 = 2