Question

Debbie and Trisha are looking at the equation the square root of the quantity of 4 times x minus 6 equals square root of x . Debbie says that the solution is extraneous. Trisha says that the solution is non-extraneous. Is Debbie correct? Is Trisha correct? Are they both correct? Justify your response by solving this equation, explaining each step with complete sentences.

Answer 1

@@Zarkon

Answer 2

@Zarkon

Answer 3

Much depends on whether we're interpreting the verbal description of the equation correctly. My interpretation is\[\sqrt{4x-6}=\sqrt{x}\]
Does that agree with yours?

Answer 4

yes

Answer 5

@mathmale

Answer 6

Then please square both sides of this equation, separately. Type the result here.

Answer 7

i really dont know @mathmale i need a walk through

Answer 8

@micahpkay

Answer 9

@kawaiicat123

Answer 10

@charlotte123

Answer 11

@charlotte123