Solve x_{1}=-25/6+sqrt{289/36}

$$x _ { 1 } = \frac { - 25 } { 6 } + \sqrt { \frac { 289 } { 36 } }$$

Solve for x_1

$$x_{1} = -\frac{4}{3} = -1\frac{1}{3} \approx -1.333333333$$

Steps for Solving Linear Equation

Fraction \frac{-25}{6} can be rewritten as -\frac{25}{6} by extracting the negative sign.

$$x_{1}=-\frac{25}{6}+\sqrt{\frac{289}{36}}$$

Rewrite the square root of the division \frac{289}{36} as the division of square roots \frac{\sqrt{289}}{\sqrt{36}}. Take the square root of both numerator and denominator.

$$x_{1}=-\frac{25}{6}+\frac{17}{6}$$

Since -\frac{25}{6} and \frac{17}{6} have the same denominator, add them by adding their numerators.

$$x_{1}=\frac{-25+17}{6}$$

Add -25 and 17 to get -8.

$$x_{1}=\frac{-8}{6}$$

Reduce the fraction \frac{-8}{6} to lowest terms by extracting and canceling out 2.

$$x_{1}=-\frac{4}{3}$$

Assign x_1

$$x_{1}≔-\frac{4}{3}$$