SOLUTION: Given that k = 2 sqrt (3a - k^2), express k in terms of a

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Question 1038494: Given that k = 2 sqrt (3a - k^2), express k in terms of a
Answer by josgarithmetic(39615) About Me  (Show Source):
You can put this solution on YOUR website!
k = 2 sqrt (3a - k^2)
k=2+sqrt%283a-k%5E2%29

k%5E2=4%2A%283a-k%5E2%29

k%5E2=12a-4k%5E2

0=12a-5k%5E2

5k%5E2=12a

k%5E2=12a%2F5

k=0%2B-+sqrt%2812a%2F5%29

k=0%2B-+2sqrt%283a%2F5%29

0%2B-+2%2Asqrt%285%29sqrt%283a%29%2F5

highlight%28k=0%2B-+%282%2Asqrt%2815a%29%29%2F5%29