Solve the equation sqrt(x-13)-sqrt(x-17)=1

spremani0r

spremani0r

Answered question

2022-09-12

Solve the equation
x 13 x 17 = 1
If there is more than one solution, write the solutions in a comma-separated list

Answer & Explanation

Anabelle Hicks

Anabelle Hicks

Beginner2022-09-13Added 13 answers

Solution:
x 13 x 17 = 1 x 13 = 1 + x 17
Square on both sides
( x 13 ) 2 = ( 1 + x 17 ) 2 x 13 = 1 2 + ( x 17 ) 2 + 2 x 17 13 = 16 + 2 x 17 x 17 = 3 2
Square on book sides
x 17 = 9 4 x = 17 + 9 4 x = 19.25

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