Question

1/x+4 - 1/x+7 = 11/30 find the roots​

Answer 1

Answer:

Your question is wrong.

Right question is :

$\frac{1}{x+4}-\frac{1}{x-7}=\frac{11}{30}$

Roots of the given quadratic equation are 1 , 2

Step-by-step explanation:

$\frac{1}{x+4}-\frac{1}{x-7}=\frac{11}{30}\\\\=>\frac{x-7-x-4}{(x+4)(x-7)}=\frac{11}{30}\\ \\=>\frac{-11}{x^{2}+4x-7x-28 }=\frac{11}{30}\\ \\=>\frac{-1}{x^{2}-3x-28}=\frac{1}{30}\\\\=>-30=x^{2}-3x-28\\=>x^{2}-3x+2=0\\=>x^{2}-2x-x+2=0\\=>x(x-2)-1(x-2)=0\\=>(x-2)(x-1)=0$

Either,                  |               or,

x - 2 = 0                |               x - 1 = 0

=>x = 2                  |               =>x = 1

Therefore, Roots of the given quadratic equation are 1 , 2

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