Solving Equations Worksheet1 Solution5





In this page solving equations worksheet1 solution5 we are going to see solution of practice questions.

Question 5:

The  values of x satisfying the equation

Solving equation 6 (√[x/(1-x)] + √[(1-x)/x] ] = 15

Solution:

First let us take separate square roots for both numerator and denominator.

[√x/√(1 - x)] + [√(1 - x)/√x] = 15/6

now we are going to take L.C.M

(√x√x) + [√(1 -x) √(1 - x)]/√x(1 - x) = 5/2

x + (1 - x)/√(x - x²) = 5/2

2 (x + 1 - x) = 5 √(x - x²)

2 = 5√(x - x²)

taking squares on both sides

2² = [5√(x - x²)]²

4 = 25 (x - x²)

4 = 25 x - 25 x²

25 x² - 25 x + 4 = 0

 25 x² - 20 x - 5 x + 4 = 0

5 x (5 x - 4) - 1 (5 x - 4) = 0

(5 x - 1) (5 x - 4)= 0

5 x - 1 = 0            5 x - 4 = 0

  5 x = 1                   5 x = 4

    x = 1/5                   x = 4/5

solutions are x = 1/5 and x = 4/5

Therefore the correct option is option (C)

(A)  -1/5 , -4/5

(B)  3/5 , 2/5

(C)  1/5 , 4/5

(D)  1/3 , -1/3

solving equations worksheet1 solution5 solving equations worksheet1 solution5