Question

Solve: √x²-16 -(x-4)=√x²-5x+4

Answer 1

Hey mate! Here is your answer.

√x^2-16-(x-4)=√x^2-5x+4(√x^2 cancelled from both sides)

-16-x+4=-5x+4(4 cancelled from both sides)

-16-x=-5x

16=-x+5x

16=4x

x=16÷4=4

Answer 2

sqrt (x- 4) is common in each term hence x = 4 can be. solution. aprt from this

 

sqrt(x + 4) – sqrt (x- 4) = sqrt (x- 1)

 

x = 5 is also a solution.

 

x +4 = x – 4 + x – 1 + 2 sqrt (x^2 – 5x + 4)

 

x^2 +81 – 18 x = 4 x^2 —20 x + 16

 

3 x^2 – 2 x – 65 = 0

 

by solving quadratic equation

 

x = 5 and -26/6

 

here – 26/6 is rejected as not satisfied in original equation