find the geometric mean of 275 and 11
275/x=x/11
x^2= 3025
x=sq rt 3025
now I'm not sure what to do.
you got it
except keep going to get
x = ±√3025
x = ± 55
check:
275 , 55, 11
is 55/275 = 11/55 ? YES
is -55/275 = 11/=55 ? YES
To find the geometric mean of 275 and 11, you are on the right track with your equation:
275/x = x/11
Next, you correctly squared both sides to eliminate the fractions:
x^2 = 3025
Now, to find the value of x, you need to take the square root of both sides:
√(x^2) = √(3025)
x = ±55
However, since we are calculating the geometric mean, we only consider the positive value. Therefore, the geometric mean of 275 and 11 is 55.
To find the geometric mean of two numbers, follow these steps:
1. Multiply the two numbers together.
In this case, multiply 275 and 11:
275 * 11 = 3025
2. Take the square root of the result.
The square root of 3025 is 55.
Therefore, the geometric mean of 275 and 11 is 55.