Home
Class 10
MATHS
If mean - proportional of (x - 2) and (x...

If mean - proportional of (x - 2) and (x - 3) be x, then the value of x is _________ .

Text Solution

Verified by Experts

The mean- proportional of (x -2) and (x - 3) is x.
` :. ` by definition , ` (x -2)/x = x/(x -3)`
or, ` x^(2) - 2x - 3x + 6 = x^(2)`
or, ` -5x + 6 = 0 " or, " -5x = - 6`.
or, ` x = (-6)/(-5) " or, " x = 6/5 = 1 1/5`
Hence the value of x is ` underline (1 1/5)`.
Promotional Banner

Topper's Solved these Questions

  • RATIO AND PROPORTION

    CALCUTTA BOOK HOUSE|Exercise EXAMPLES (Long Answer Type Questions)|25 Videos

  • RATIO AND PROPORTION

    CALCUTTA BOOK HOUSE|Exercise EXERCISE - 2.1 (Very Short Answer Type Questions) MCQs|4 Videos

  • RATIO AND PROPORTION

    CALCUTTA BOOK HOUSE|Exercise EXAMPLES (True or False)|2 Videos

  • QUADRATIC SURDS

    CALCUTTA BOOK HOUSE|Exercise Exercise -3.2|28 Videos

  • RECTANGULAR PARALLELOPIPED OR CUBOID

    CALCUTTA BOOK HOUSE|Exercise EXERCISE-(MCQs)|40 Videos

Similar Questions

Explore conceptually related problems

If mean = (3median - mode)x, then the value of x is

The mean - proportional of x^(2) y " and " yz^(2) is

If x = 2 + sqrt3 , then the value of x + (1)/(x) is

If 2^(x+1 ) = 3^(1-x) then find the value of x.

If mean of 4,7,x,8 is 5 , then the value of x is.

If (x+2)^3-27=0 then a value of x is

If f(x)= 2x^3-3x^2+4x-2 ,then the value of f'(3) is

If the mean of 3, 4, x, 7, 10 is 6 then the value of x is

If x = 2+sqrt3 , the value of x+1/x is sqrt2 .