Question

x = 17/4 - 1/x check whether it is a quadratic equation or not ​

Answer 1

Answer:

Given

$x = \frac{17}{4} - \frac{1}{x} \\ x = \frac{17x - 4}{4x} \\ 4x {}^{2} = 17x - 4 \\ 4x {}^{2} - 17x + 4 = 0$

So here we see

$4x {}^{2} - 17x + 4 = 0$

is in the form of

$ax {}^{2} + bx + c$

So the given equation

x = 17/4 - 1/x

is a quadratic equation.

Answer 2

Answer:

x=17/4 - 1/x

x=17x - 4/4x

4x2 - 17x + 4=0

4x2 - (16+1)x + 4=0

4x2 - 16x - 1x - 4=0

taking 4x and x common we get

4x(x - 4) - 1(x - 4)=0

(4x-1)(x-4)

hence it forms a quadratic equation.