Question

what is componendo dividendo rule give example question

Answer 1

Componendo -:

a/b=c/d
By applying componendo -:
a+b/b=c+d/d i.e. we add the denominator in the numerator..


Dividendo-:

By applying dividendo -:
a/b=c/d
a/a-b = c/c-d i.e. we subtract the numerator in the denominator

Answer 2

Hey mate !!
Here's your answer :-)

QUESTION -:
Using the properties of proportion, solve for x, given x^4+1/2x^2=17/8

SOLUTION -:

(x^4+1)+2x^2/(x^4+1)-2x^2=17+8/17-8

[By applying componendo and dividendo]

(x^2+1)^2/(x^2-1)^2=25/9

x^2+1/x^2-1=5/3

[Taking square roots of both sides]

(x^2+1)+(x^2-1)/(x^2+1)-(x^2-1) = 5+3/5-3

[By applying componendo and dividendo]

2x^2/2 = 8/2 => x^2 = 4
x = 2, -2

Hope this helps☺☺