Question

x2+12/35*x+1/35 with steps

Answer 1

Hey there !

Solution:

$Given: x^2 + \dfrac{12}{35} x + \dfrac{1}{35} = 0 \\ \\ \text{ To remove 35 from denominator, we multiply by 35 on both sides. Hence we get,} \\ \\ \implies 35 \;\: [ x^2 + \dfrac{12}{35} x + \dfrac{1}{35} ] = 35 \times 0 \\ \\ \implies 35x^2 + 12x + 1 = 0 \\ \\ \text{ Factorising the equation we get,} \\ \\ \implies 35x^2+ 7x + 5x + 1 = 0 \\ \\ \implies 7x ( 5x + 1 ) + 1 ( 5x + 1 ) = 0 \\ \\ \implies ( 7x + 1 ) ( 5x + 1 ) = 0 \\ \\ \text{ If we want to get individual values of x als, then we get,}$

$\implies 7x + 1 = 0 \\ \\ \implies x = \dfrac{ -1}{7} \\ \\ \implies 5x + 1 = 0 \\ \\ \implies x = \dfrac{-1}{5} \\ \\ \text{ Hence Values of x are:} \dfrac{-1}{7}, \dfrac{-1}{5}$

Hope my answer helped !