Question

x+3/x+2+x-2/x-3=5/(x+2)(x-3). factorizing method​

Answer 1

$\huge\underline{\mathbb\red{❥︎A}\green{N}\mathbb\blue{S}\purple{W}\mathbb\orange{E}\pink{R}}\:$

Given equation:

x

4

−3=

2x+3

5

⟹

x

4−3x

=

2x+3

5

⟹(4−3x)(2x+3)=5x

⟹8x+12−6x

2

−9x=5x

⟹−6x

2

−6x−12=0

⟹x

2

−x−2=0

a=1,b=−1,c=−2

D=b

2

−4ac

⟹D=(−1)

2

−4(1)(−2)

⟹D=1+8

⟹D=9

∴ Roots are real and distinct

$\huge\sf\underline{\underline{\red{❥︎ Thanks}}}$