Question

plz fast give solution​

Answer 1

Answer:

x²-(x+2)(x+3)/7x+1=2/3

3(x²-(x²+3x+2x+6))=7x+1(2)

3(-5x-6)=14x+2

-15x-18=14x+2

-15x-14x=2+18

-29x=20

x=-29/28

Answer 2

Answer:

$\leadsto\sf \pink{Formula \: Used:-}$

$\pink \leadsto \sf{(x + a)(x + b) = {x}^{2} + (a + b)x + ab }$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \:$

$\leadsto\sf \pink{Solution:-}$

$\pink \leadsto \sf{ \frac{ {x}^{2} - (x + 2)(x + 3) }{7x + 1} = \frac{2}{3} }$

$\pink \leadsto\sf{ \frac{ {x}^{2} - ({x}^{2} + ( 2 + 3)x + 2 \times 3)}{7x + 1} = \frac{2}{3} }$

$\pink \leadsto \sf{ \frac{ {x}^{2} - {x}^{2} - 5x - 6 }{7x + 1} = \frac{2}{3} }$

$\pink \leadsto \sf{ \frac{ \cancel{x}^{2} - \cancel{x}^{2} - 5 x- 6 }{7x + 1} = \frac{2}{3} }$

$\pink \leadsto\sf{ \frac{ - 5x - 6}{7x + 1} = \frac{2}{3} }$

$\sf\pink{Do \: cross \: Multiplication:-}$

$\pink \leadsto \sf{ 3( -5 x - 6) = 2(7x + 1)}$

$\pink \leadsto\sf{ -15 x - 18 = 14x + 2}$

$\pink \leadsto \sf{ -15 x - 14x =2 + 18}$

$\pink \leadsto \sf{ - 29x = 20}$

$\leadsto \sf \pink{x = \frac{-20}{ 29} }$