Solve frac{61+24sqrt{5}}{-29}+frac{61-24sqrt{5}}{-29}

$$\frac { 61 + 24 \sqrt { 5 } } { - 29 } + \frac { 61 - 24 \sqrt { 5 } } { - 29 }$$

Evaluate

$$-\frac{122}{29}\approx -4.206896552$$

Short Solution Steps

Multiply both numerator and denominator by -1.

$$\frac{-61-24\sqrt{5}}{29}+\frac{61-24\sqrt{5}}{-29}$$

Multiply both numerator and denominator by -1.

$$\frac{-61-24\sqrt{5}}{29}+\frac{-61+24\sqrt{5}}{29}$$

Since \frac{-61-24\sqrt{5}}{29} and \frac{-61+24\sqrt{5}}{29} have the same denominator, add them by adding their numerators.

$$\frac{-61-24\sqrt{5}-61+24\sqrt{5}}{29}$$

Do the calculations in -61-24\sqrt{5}-61+24\sqrt{5}.

$$\frac{-122}{29}$$

Fraction \frac{-122}{29} can be rewritten as -\frac{122}{29} by extracting the negative sign.

$$-\frac{122}{29}$$

Factor

$$-\frac{122}{29} = -4\frac{6}{29} = -4.206896551724138$$