SOLUTION: solve the following equation by using the square root property (w-6)^2=64 w= ? or w=?

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Question 212964: solve the following equation by using the square root property
(w-6)^2=64
w= ? or w=?
Answer by drj(1380) About Me  (Show Source):
You can put this solution on YOUR website!
Solve the following equation by using the square root property

%28w-6%29%5E2=64

w= ? or w=?

Solved by pluggable solver: EXPLAIN simplification of an expression
Your Result:


YOUR ANSWER


  • This is an equation! Solutions: w=14,w=-2.
  • Graphical form: Equation %28w-6%29%5E2=64 was fully solved.
  • Text form: (w-6)^2=64 simplifies to 0=0
  • Cartoon (animation) form: simplify_cartoon%28+%28w-6%29%5E2=64+%29
    For tutors: simplify_cartoon( (w-6)^2=64 )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at %28w-6%29%5E2=highlight_red%28+64+%29.
Moved these terms to the left highlight_green%28+-64+%29
It becomes %28w-6%29%5E2-highlight_green%28+64+%29=0.
Look at highlight_red%28+%28w-6%29%5E2-64+%29=0.
Equation highlight_red%28+%28w-6%29%5E2-64=0+%29 is a quadratic equation: w^2-12*w-28 =0, and has solutions 14,-2
It becomes highlight_green%28+0+%29=0.
Result: 0=0
This is an equation! Solutions: w=14,w=-2.

Universal Simplifier and Solver


Done!



I hope the above steps were helpful.

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Good luck in your studies!

Respectfully,
Dr J