using the properties of proportion, solve the equation 5x+(x2-1)/5x-(x2-1)=7/5(2here refer to square and "/" refer to upon )
Answers
Answered by
5
Given : 5x + (x² - 1) / (5x - (x² - 1) = 7/5
To Find : x
Solution:
5x + (x² - 1) / (5x - (x² - 1) = 7/5
a/b = c/d
using Componendo-Dividendo
=> a + b/(a - b) = c + d / c - d
a = 5x + (x² - 1)
b = (5x - (x² - 1)
a + b = 10x
a - b = 2(x² - 1)
c = 7
d = 5
c + d = 12
c - d = 2
10x/2(x² - 1) = 12/2
=> 5x/(x² - 1) = 6
=> 5x = 6x² - 6
=> 6x² - 5x - 6 = 0
=> 6x² -9x + 4x - 6 = 0
=> 3x(2x - 3) + 2(2x - 3) = 0
=> (3x + 2)(2x - 3) = 0
=> x = - 2/3 , x = 3/2
Learn more:
√5x+√2x-6/√5x-√2x-6=4 find x using componendo and dividendo ...
brainly.in/question/8642043
If 4a+7b/4c+7d=4a-7b/4c-7d then prove that a:b::c:d
brainly.in/question/13792555
https://brainly.in/question/21541232
Answered by
2
REGARDS:
MARK ME AS BRAINLIEST
Attachments:
Similar questions