Question

Hurry 100 points for correct answer

Solve the equation. Identify any extraneous situations.
w=√7w
–7 is a solution of the original equation. 0 is an extraneous solution.

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

0 is a solution of the original equation. 7 is an extraneous solution.

0 and 7 are solutions of the original equation.

Answer 1

w=0 or w=7

We know this is true because when plugged into the equation, it’s true.

Answer 2

d)0 and 7 are solutions of the original equation.

Explanation:

Let's solve your equation step-by-step.

w=√7w

Step 1: Flip the equation.

√7w=w

Step 2: Solve Square Root.

√7w=w

7w=w2(Square both sides)

7w=w2

7w−w2=w2−w2(Subtract w^2 from both sides)

−w2+7w=0

w(−w+7)=0(Factor left side of equation)

w=0 or −w+7=0(Set factors equal to 0)

w=0 or w=7

Check answers. (Plug them in to make sure they work.)

w=0(Works in original equation)

w=7(Works in original equation)