Question

Pls answer the question fast with step by step explanation.
$x=x/2 + 3/4(x/1-x/2)$

Answer 1

Answer:

Given : (4/x) - 3= 5/(2x+3)

(4-3x)/x = 5/(2x+3)

(By taking LCM)

(4-3x) (2x+3) =5x

8x+12-6x²-9x = 5x

-6x²+8x-9x-5x+12=0

-6x²-6x +12=0

-6(x²+x-2)=0

x²+x-2=0

x²+2x-x-2=0

x(x+2)- 1(x+2)=0

x-1=0 or x + 2 = 0

x =1 or x= -2

Hence,the roots of the quadratic equation (4/x) -3 = 5/(2x+3) are 1&-2

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