Question

Factorize: x²+12/35x+1/35

Answer 1

x^2+12/35x+1/35=0

=>1/35 [35x^2+12x+1]=0

=>35x^2+12x+1=0

=>35x^2+7x+5x+1=0[by splitting the middle term)

=>7x(5x+1)+1(5x+1)=0

=>(7x+1)(5x+1)=0

=>x=-1/7 or x=-1/5

Hope it helps

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Answer 2

Given:

$x^2+\frac{12}{35}x+\frac{1}{35}$

To find:

Factors

Solution:

$x^2+\frac{12}{35}x+\frac{1}{35}=0$

$\frac{35x^2+12x+1}{35}=0$

$35x^2+12x+1=0$

$35x^2+7x+5x+1=0$

$7x(5x+1)+1(5x+1)=0$

$(5x+1)(7x+1)=0$

$5x+1=0$

$\implies x=-\frac{1}{5}$

And

$7x+1=0$

$\implies x=-\frac{1}{7}$