225k views
1 vote
Solve the equation. Identify any extraneous solutions.

h = sqrt 3h

-3 is a solution of the original equation. 0 is an extraneous solution.

0 and 3 are solutions of the original equation.

3 is a solution of the original equation. 0 is an extraneous solution.

0 is a solution of the original equation. 3 is an extraneous solution.

User Lekso
by
5.5k points

2 Answers

2 votes

Answer:0 and 3 are solutions of the original equation.

Explanation:

User Lory
by
5.5k points
3 votes

Answer:

It's the second option:

0 and 3 are both solutions.

Explanation:

h = √(3h) Square both sides:

h^2 = 3h

h^2 - 3h = 0

h(h - 3) = 0

h = 0, 3.

If we plug h = 0 into the original equation:

0 = √(3*0) = 0 so this is a root.

x = 3:

3 = √(3*3) = 3 so this is also a root.

User Vdudouyt
by
5.4k points