SOLUTION: Can someone help me? #31. Solve each equation and check for extraneous solutions. 2√w+4=5 thank you

Question 157304This question is from textbook elementary and intermediate algebra
: Can someone help me? #31. Solve each equation and check for extraneous solutions. 2√w+4=5
thank you This question is from textbook elementary and intermediate algebra

Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given equation

Square both sides

Distribute.

Subtract from both sides.

Combine like terms on the right side.

Divide both sides by to isolate .

----------------------------------------------------------------------

Answer:

So the answer is which in decimal form is .

Check:

Start with the given equation

Plug in

Add

Take the square root

Multiply

Reduce. Since the equation is true, this verifies our answer.
RELATED QUESTIONS
2√(w+4)=5 Solve each equation and check for extraneous... (answered by jim_thompson5910)

I need help with this equation please: Supposed to solve the equation and check for... (answered by edjones)

32.)Solve each equation and check for extraneous solutions. (3sqrt(w+1=6) (answered by midwood_trail)

32.)Solve each equation and check for extraneous solutions. (3sqrt(w+1=6) (answered by Mrs.moniek)

Solve the equation √(x-3) + √(x+2) = 5. Be sure to check for extraneous (answered by greenestamps)

Please help me solve this equation. Solve each equation. Check for extraneous... (answered by deborabr)

SOLUTION: Can someone help me? #31. Solve each equation and check for extraneous solutions. 2&#8730;w+4=5 thank you

SOLUTION: Can someone help me? #31. Solve each equation and check for extraneous solutions. 2√w+4=5 thank you