Question

The number of solutions for √5x+7-√3x,+ 1 = √x + 3 is:
(A) O
(B) 1
(C) 2
. (D) none of thes​

Answer 1

Step-by-step explanation:

sqrt (5x+7) -sqrt (3x+1)) ^2 = sqrt (x+3)^2

multiply out the brackets to get

5x+7 -2sqrt (3x+1)(5x+7) + 3x+1 =x+3

put the sqrt expression on one side of the = sign to get

7x+5 = 2 sqrt (3x+1)(5x+7)

now square each side again

(7x+5) (7x+5) = 2^2 (sqrt (3x+1)^2) (sqrt (5x+7)^2)

49x^2 +70x +25 = 4 (3x+1) (5x+7)

11x^2 -38x +3 +0

use the formula to solve this

i am in a bit of a rush so cannot check my arithmatic, but the method should be correct