Question

x-4 is the geometric mean of x-5 and x - 2 find x​

Answer 1

Answer:

x=6

Step-by-step explanation:

We know that,

Geometric mean of two numbers, a and b is√ab

So,

√(x−5)×(x−2)=(x−4)

By Squaring on both sides,

{√(x−5)×(x−2)}²=(x−4)²

(x−5)×(x−2)=x²-8x+16 {(a+b)²=a²+b²+2ab}

x²−5x−2x+10=x²−8x+16

−7x+8x=16−10 {x²-x²=0}

x=6