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Two rational numbers $p$ and $q$ satisfy: $p + q = 0$ and $p \times q = - \frac{4}{9}$ .
Given that $p$ is positive, find $p$ .

Class 8Properties of Rational NumbersNumber System

A $\frac{2}{3}$
B $- \frac{2}{3}$
C $\frac{4}{9}$
D $\frac{3}{2}$

Step-by-Step Solution

p + q = 0

means

q = - p

(additive inverses). Then

p \times (- p) = - p^{2} = - \frac{4}{9}

, so

p^{2} = \frac{4}{9}

and

p = \frac{2}{3}

(positive).

Answer: A)

\frac{2}{3}

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