Question

What number must me added to $x^2+\frac{7}{3}x$ to make it a perfect square?

• A. $\frac{25}{36}$
• B. $\frac{49}{36}$
• C. $\frac{36}{25}$
• D. $\frac{49}{9}$

Answer 1

The correct option is B $\frac{49}{36}$

Expression is:

$x^2+\left(\frac{7}{3}\right)x$

Now, divide the coefficient of $x$ by 2 and square it.

We'll get,

$(\frac{7}{6}{)}^2$=$\frac{49}{36}$