Question

Guezz plz help me out is this quadratic equation.....

Answer 1

Yes this is a quadratic equation

Answer 2

$\underline{\underline{\huge\mathfrak{your\:answer}}}$
2${x}^{2}$ - 70x + 167 = 0

step-by-step explanation:

Given,

1/2x-3 + 1/x-5 = 1/19

Taking L.C.M of the denominators on L.H.S and simplifying,

we get,

=> (x-5)+(2x-3)/(x-5)(2x-3) = 1/19

=> 3x -8/ 2x^2 -13x +15 = 1/19

Now, using cross multiplication,

we get,

=> 19(3x-8) = 2x^2 -13x +15

=> 57x - 152 = 2x^2 -13x +15

=> 2x^2 -13x -57x+15+152 = 0

=> 2x^2 -70x + 167 =0

Hence, the required quadratic equation is

2${x}^{2}$ - 70x + 167 = 0