Question

(23-x) is the mean proprtional of (28-x) and (19-x)​

Answer 1

Answer:

x = -1/3

Step-by-step explanation:

(23-x)2 = (28-x) (19-x)

by solving you get

x = -1/3

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Answer 2

x=18,27

Step-by-step explanation:

$Mean=\frac{\sum fx}{\sum x}\\\frac{23-x}{1}=\frac{(28-x)(19-x)}{2}$

By cross multiplying

$2(23-x)=(28-x)(19-x)\\46-2x=532-28x-19x+x^2\\46-2x=532-47x+x^2\\x^2-47x+2x+532-46=0\\x^2-45x+486-=\\x^2-27x-18x+486=0\\x(x-27)-18(x-27)\\(x-18)(x-27)\\x=18,27$