destiny1011181 destiny1011181
  • 24-07-2020
  • Mathematics
contestada

The geometric mean and one extreme are given. Find the other extreme.
33)√35 is the geometric mean between p and q. Find q if p = √7​

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MollieToliver MollieToliver
  • 30-07-2020

Answer:

q= 5

Step-by-step explanation:

Geometric mean of two term p and q is = [tex]\sqrt{pq}[/tex]

we have

p = √7​

geometric mean = √35

Thus, using the formula of geometric mean

√35 = √7​*q

[tex]\sqrt{35} = \sqrt{7q} \\[/tex]

squaring both sides

[tex]\sqrt{35}^2 = \sqrt{7q} ^2\\=>35 = 7q\\=> q = 35/7 = 5[/tex]

Thus, q= 5

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