Question

Given x+3 the mean proportion between (x-1) and 2x, find the value of x
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Answer 1

Step-by-step explanation:

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Answer 2

Answer:

9 and -1 are the required value of x .

Step-by-step explanation:

Explanation:

Given , that (x+3) the mean proportion between (x-1) and (2x)

The square root of the product of two numbers when expressed as the means of proportion.

Step1:

So , we have  (x+3) the mean proportion between (x-1) and 2x .

According to the question

(x+3) = $\sqrt{(x-1)(2x)}$

⇒$(x+3)^{2} = (x-1)2x$

⇒ $x^{2} +6x+9 = 2x^{2} - 2x$

⇒$x^{2} -8x-9 = 0$

On simplify the above equation we get ,

$x^{2} -9x+x-9 = 0$

$(x-9)(x+1) = 0$

∴x= 9 and x = -1

Final answer :

Hence , the value of x is 9 and -1 .