Question

Solve the equation $3x-7\sqrt{x}+2=0$

• A. $-\frac{1}{9}$ or $4$
• B. $\frac{1}{9}$ or $-4$
• C. $-\frac{1}{9}$ or $-\frac{1}{4}$
• D. $\frac{1}{9}$ or $4$

Answer 1

The correct option is D $\frac{1}{9}$ or $4$

Put $\sqrt{x}=y$. Then we have $3y^2-7y+2=0$, i.e.,
$(3y-1)(y-2)=0$
i.e., $y=\frac{1}{3}$ or 2
i.e., $\sqrt{x}=\frac{1}{3}$ or 2
$\therefore x=\frac{1}{9}$ or 4