Question
Determine the roots of the following equations:
√2w+8 / w
√2w+8 / w
Answers
Answered by
GPT 3.5
To find the roots of the equation:
√2w + 8 / w = 0
We first need to get rid of the square root by squaring both sides:
(√2w + 8 / w)^2 = 0^2
Simplifying the left side, we have:
(2w + 8) / w^2 = 0
Next, we multiply both sides by w^2 to eliminate the fraction:
(2w + 8) = 0
Now, we can solve for w:
2w + 8 = 0
2w = -8
w = -8/2
w = -4
Therefore, the root of the equation is w = -4.
√2w + 8 / w = 0
We first need to get rid of the square root by squaring both sides:
(√2w + 8 / w)^2 = 0^2
Simplifying the left side, we have:
(2w + 8) / w^2 = 0
Next, we multiply both sides by w^2 to eliminate the fraction:
(2w + 8) = 0
Now, we can solve for w:
2w + 8 = 0
2w = -8
w = -8/2
w = -4
Therefore, the root of the equation is w = -4.
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