Question

If x+5 the mean proportional
between x+2 and X+9. Find the
value of X​

Answer 1

Step-by-step explanation:

According to the given condition-

x+5=

(x+2)(x+9)

(x+5)

2

=(x+2)(x+9)

x

2

+25+10x=x

2

+19+11x

25+10x=11x+19

x=6.

#khushu

Answer 2

Given:

x + 5 is the mean proportional between x + 2 and x + 9.

Therefore:

Therefore:(x + 2), (x + 5) and (x + 9) are in continued proportion.

(x + 2): (x + 5) = (x + 5): (x + 9)

(x + 2)/ (x + 5) = (x + 5)/ (x + 9)

(x + 5)2 = (x + 2)(x + 9)

x2 + 25 + 10x = x2 + 2x + 9x + 18

25 – 18 = 11x – 10x

x = 7