Question

solve the proportion

4/x = √11-1/3

responses
A. 6/5 √11-6/5
B. 5/6 √11-6/5
C.5/6 √11+6/5
D.6/5 √11+6/5

Answer 1

[AI-generated answer — Bot GPT 3.5]

To solve the proportion 4/x = √11 - 1/3, we need to isolate x by multiplying both sides by x. This gives us:

4 = x(√11 - 1/3)

Now, we divide both sides by (√11 - 1/3) to solve for x:

x = 4 / (√11 - 1/3)

To rationalize the denominator, we multiply the numerator and denominator by the conjugate of the denominator, which is (√11 + 1/3):

x = 4(√11 + 1/3) / ((√11 - 1/3)(√11 + 1/3))
x = 4(√11 + 1/3) / (11 - 1/9)
x = 4(√11 + 1/3) / (98/9)
x = 36(√11 + 1) / 98
x = 18(√11 + 1) / 49

Therefore, the answer is not listed among the given options.