More on 10.3!

k= SQRT of 6k-8

-take the square of both sides.

k^2=6k-8

k^2-6k+8=0

(k-4)(k-2)=0

k=4 or k=2

-to check, plug into ORIGINAL equation.

x+ SQRT of x=6

-isolate the square root term.

-"work our magic" with squaring terms.

SQRT of x=6-x

x=(6-x)^2

x=(6-x)(6-x)

x=36-12x+x^2

-x -x

x^2-13x+36=0

(x-9)(x-4)=0

x=9 or x=4

when checking, 9 doesn't work so 4 is the only solution.