SOLUTION: solving polynomial equations 4w^2-36=0

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Question 189890: solving polynomial equations
4w^2-36=0
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

4w%5E2-36=0 Start with the given equation.


Notice we have a quadratic equation in the form of aw%5E2%2Bbw%2Bc where a=4, b=0, and c=-36


Let's use the quadratic formula to solve for w


w+=+%28-b+%2B-+sqrt%28+b%5E2-4ac+%29%29%2F%282a%29 Start with the quadratic formula


w+=+%280+%2B-+sqrt%28+%280%29%5E2-4%284%29%28-36%29+%29%29%2F%282%284%29%29 Plug in a=4, b=0, and c=-36


w+=+%280+%2B-+sqrt%28+0-4%284%29%28-36%29+%29%29%2F%282%284%29%29 Square 0 to get 0.


w+=+%280+%2B-+sqrt%28+0--576+%29%29%2F%282%284%29%29 Multiply 4%284%29%28-36%29 to get -576


w+=+%280+%2B-+sqrt%28+0%2B576+%29%29%2F%282%284%29%29 Rewrite sqrt%280--576%29 as sqrt%280%2B576%29


w+=+%280+%2B-+sqrt%28+576+%29%29%2F%282%284%29%29 Add 0 to 576 to get 576


w+=+%280+%2B-+sqrt%28+576+%29%29%2F%288%29 Multiply 2 and 4 to get 8.


w+=+%280+%2B-+24%29%2F%288%29 Take the square root of 576 to get 24.


w+=+%280+%2B+24%29%2F%288%29 or w+=+%28-0+-+24%29%2F%288%29 Break up the expression.


w+=+%2824%29%2F%288%29 or w+=++%28-24%29%2F%288%29 Combine like terms.


w+=+3 or w+=+-3 Simplify.


So the answers are w+=+3 or w+=+-3