Question

Find the positive solution for the rational equation: (2/(x+1))+(5/2x)=2

Answer 1

Step-by-step explanation:

solve by the help of quadratic formula

Answer 2

Answer:

1.906

Step-by-step explanation:

2/(x+1)+ 5/2x=2

(2x)(X+1) (2/(x+1)+ 5/2x) = 2 (2x)(X+1)

2x ( 2) + (X+1)(5) = 4x (X+1)

4x + 5x +5 = 4x2 + 4x

9x + 5 = 4x2 + 4x

0 = 4x2 + 4x - 9x -5

0= 4X2 – 5x -5

Quadratic Equation

X= (-b±√(b^2-4ac))/2a

Use the given

a=4, b= -5, c= -5

X= (-(-5)±√(-5^2-4(4)(-5)))/2(4)

X= (5 ±√( 25 -4(-20)))/8

X= (5 ±√( 25+80))/8

X= (5 ±√( 25+80))/8

X= (5 ±√( 105))/8 X

= 1.906 X

= - 0.656

answer: the solution is 1.906 and -0.656