What is (5-sqrt(x-1))^2 ?

The solution to (5-sqrt(x-1))^2 is x-10sqrt(x-1)+24

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simplify (5-sqrt(x-1))^2

simplify

(5 - x - 1)^{2}

x - 10 x - 1 + 24

Solution steps

(5 - x - 1)^{2}

Apply Perfect Square Formula:

(a - b)^{2} = a^{2} - 2 ab + b^{2}

(5 - x - 1)^{2} = 5^{2} - 2 \cdot 5 x - 1 + (x - 1)^{2}

= 5^{2} - 2 \cdot 5 x - 1 + (x - 1)^{2}

Simplify

5^{2} - 2 \cdot 5 x - 1 + (x - 1)^{2} : x - 10 x - 1 + 24

= x - 10 x - 1 + 24

(x - 3 i) (x + 3 i) (x - 5)

(e^{t}) (e^{- t} + t e^{- t})

\frac{1}{( x + a ) ( x - a )}

(2, 3) y (- 2, - 3)

\frac{( 2 x - 12 )}{( x - 4 ) ( x - 5 )}