Question

What is the solution of the equation

`√(x - 2) = x - 4`
​

Answer 1

`\boxed{\bold{x=6}}`

Step By Step Explanation:

Expand
`\bold{\left(√(x-2)\right)^2: \ x-2}`

Expand
`\bold{\left(x-4\right)^2: \ x^2-8x+16}`

`\bold{x-2=x^2-8x+16}`

Solve
`\bold{x-2=x^2-8x+16: \ x=6,\:x=3}`

`\bold{x=6,\:x=3}`

Verify Solutions;

x = 6 - True

x = 3 - False

`\bold{x=6}`

Regards,

Mordancy