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.
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
1 answer