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### Question

If x = 0.5356, then what is the value of $9x + √{4x^2 - 4x + 1}$?

**A**

4.75.

**B**

4.50.

**C**

4.25.

**D**

5.00

**Soln.**

**Ans: a**

By inspection, $9x + √{4x^2 - 4x + 1}$ is same as $9x + √{({1 - 2x})^2}$, which is same as 9x + (1 - 2x) = 1 + 7x = 4.75.