What is (5-sqrt(-121))/(1+sqrt(-25)) ?

The solution to (5-sqrt(-121))/(1+sqrt(-25)) is -25/13-18/13 i

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simplify (5-sqrt(-121))/(1+sqrt(-25))

simplify

\frac{5 - - 121}{1 + - 25}

- \frac{25}{13} - \frac{18}{13} i

Solution steps

\frac{5 - - 121}{1 + - 25}

Multiply by the conjugate

\frac{1 - - 25}{1 - - 25}

= \frac{( 5 - - 121 ) ( 1 - - 25 )}{( 1 + - 25 ) ( 1 - - 25 )}

Expand

(5 - - 121) (1 - - 25) : - 36 i - 50

Expand

(1 + - 25) (1 - - 25) : 26

= \frac{- 36 i - 50}{26}

Factor

- 36 i - 50 : - 2 (18 i + 25)

= \frac{- 2 ( 18 i + 25 )}{26}

Factor the number:

26 = 2 \cdot 13

= \frac{- 2 ( 18 i + 25 )}{2 \cdot 13}

Cancel the common factor:

2

= \frac{- ( 18 i + 25 )}{13}

Simplify

\frac{- ( 18 i + 25 )}{13} : - \frac{25}{13} - \frac{18}{13} i

= - \frac{25}{13} - \frac{18}{13} i

\frac{10 \cdot 3.2}{17.5}

x^{2} - 2 x + 1 = 0

2 - y = 2

y^{2} + 3 y - 3 = 0

15 - 0.06 x \geq 5

What is (5-sqrt(-121))/(1+sqrt(-25)) ?
The solution to (5-sqrt(-121))/(1+sqrt(-25)) is -25/13-18/13 i