Question

(x - 4) is geometric mean of (x - 5) and (x - 2), find the value of x.​

Answer 1

Answer:

☞$geometric \: mean \: of \: 2 \: no.s \: and \: b \: is \: \sqrt{ab} \\ \\• so \: the \: geometric \: mean \: of \: (x - 5) \: and \: (x - 2) \: is \: \\ \sqrt{(x - 5)(x - 2) } = (x - 4) \\ \\ ✨squaring \: both \: sides \: \\ = {x}^{2} - 5x - 2x + 10 = {x}^{2} - 8x + 16 \\ = - 7x + 8x = 16 - 10(note \: {x}^{2} will \: be \: cancelled \: out \: ) \\ x = 6 \\ \\✧ therefore \: the \: value \: of \: x = 6$

Answer 2

Answer:

Reffered to the attachment

Step-by-step explanation:

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