Question

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Answer 1

Answer:

{x^2-(x+5)(x-2)}/(2x+3)=3/5

=> {x^2-(x^2+5x-2x-10)}/(2x+3)=3/5

=> (x^2-x^2-3x+10)/(2x+5)=3/5

=> (10-3x)/(2x+5)=3/5

=> 5(10-3x)=3(2x+5)

=> 50-15x=6x+15

=> -15x-6x=15-50

=> -21x= -35

=> x= -35/-21

=> x=5/3

=> x= 1 2/3

Answer 2

$\dfrac{ {x}^{2} - (x + 5)(x - 2)}{2x + 3} = \dfrac{3}{5}$

$\dfrac{ {x}^{2} - ( {x}^{2} - 2x + 5x - 10) }{2x + 3} = \dfrac{3}{5}$

$\implies \: \dfrac{ {x}^{2} - {x}^{2} + 2x - 5x + 10 }{2x + 3} = \dfrac{3}{5}$

$\implies \: \dfrac{ - 3x + 10}{2x + 3} = \dfrac{3}{5}$

By cross multiplication ,

$\implies \: 5( - 3x + 10) = 3(2x + 3)$

$\longrightarrow \: - 15x + 50 = 6x + 9$

$\longrightarrow \: - 15x - 6x = 9 - 50$

$\longrightarrow - 21x = - 41$

$\bold \therefore \: x = 1.952$

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