Class 11

Math

Algebra

Sequences and Series

$(x−4)$ is geometric mean of $(x−5)$ and $(x−2)$ find $x$.

- 6

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

So, geometric mean of $(x−5),(x−2)$ is $(x−5)×(x−2) =(x−4)$

Squaring both sides,

$x_{2}−5x−2x+10=x_{2}−8x+16$

$−7x+8x=16−10$

$x=6$