Question

Solve the equation $2x+\sqrt{x}-1=0$

• A. $2$
• B. $\frac{1}{4}$
• C. $1$
• D. $0$
• E. $4$

Answer 1

Answer: (B), (C)

The correct options are
B $\frac{1}{4}$
C $1$

• Given $2x+\sqrt{x}-1=0$ , which implies $2{\left(\sqrt{x}\right)}^2+\sqrt{x}-1=0$
• We get $\sqrt{x}=\frac{(-1\pm \sqrt{1+8})}{4}=\frac{(-1\pm 3)}{4}=\frac{1}{2},-1$
• $\sqrt{x}$ is always positive , therefore $\sqrt{x}=\frac{1}{2}$ , which implies $x=\frac{1}{4}$