Question

decide whether y²+1/y=2 is quadratic equation or not​

Answer 1

Step-by-step explanation:

y2 + 1/y = 2 is a quadratic equation because it is the form of ax2 + bx + c = 0 and it has degree 2. Solution: Given equation can be written as x2 + 1 = -2x x2 + 2x + 1 = 0 It is a quadratic equation because it is the form of ax2 + bx + c = 0 and it has degree 2.

Answer 2

Step-by-step explanation:

Given: ${y}^{2} + \frac{1}{y} = 2$

To find: Decide whether given equation is quadratic equation or not.

Solution:

Tip: Standard quadratic equation is given as $\bf a {x}^{2} + bx + c = 0, \: a \neq0$

Step 1: Take LCM in LHS

$\frac{ {y}^{3} + 1}{y} = 2$

Step 2: Cross multiply

${y}^{3} + 1 = 2y$

or

${y}^{3} - 2y + 1 = 0$

Step 3: Write conclusion.

It is clear on comparison with standard quadratic equation, that given equation is not quadratic.

In fact the equation is cubic equation.

Final answer:

$\bf {y}^{2} + \frac{1}{y} = 2 = > {y}^{3} - 2y + 1 = 0$, is not a quadratic equation.

Hope it helps you.

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