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### Question

For what value of x would this expression be a perfect square: $9.14 × 9.14 + x × 9.14 + 0.1 × 0.1$?

**A**

0.2.

**B**

2.0.

**C**

0.002.

**D**

0.02.

**Soln.**

**Ans: a**

Comparing the given expression with $a^2 + 2 × a ×b + b^2 = (a + b)^2$, we see that if a = 9.14, and b = 0.1 then by inspection, x should be equal to 2b = 2 × 0.1 = 0.2.