Find solution of root (1+2x)=-1/3

Identify Equation and Task: Identify the equation given and what is asked. The equation is √(1+2x) = -1/3, and we need to find the value of x.Recognize Square Root Constraint: Recognize that the square root of a number cannot be negative in the real number system. The equation √(1+2x) = -1/3 suggests a square root equal to a negative number, which is not possible for real numbers. Therefore, there is no solution in the real number system.Conclude No Real Solution: Conclude that the equation has no solution in the real numbers. Since the square root of a real number cannot be negative, the equation √(1+2x) = -1/3 has no solution.

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Find solution of root $(1+2x)=-\frac{1}{3}$

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Q. Find solution of root

(1+2x)=-\frac{1}{3}

Identify Equation and Task: Identify the equation given and what is asked. $\newline$ The equation is $\sqrt{1+2x} = -\frac{1}{3}$ , and we need to find the value of $x$ .
Recognize Square Root Constraint: Recognize that the square root of a number cannot be negative in the real number system. $\newline$ The equation $\sqrt{1+2x} = -\frac{1}{3}$ suggests a square root equal to a negative number, which is not possible for real numbers. Therefore, there is no solution in the real number system.
Conclude No Real Solution: Conclude that the equation has no solution in the real numbers. $\newline$ Since the square root of a real number cannot be negative, the equation $\sqrt{1+2x} = -\frac{1}{3}$ has no solution.