Question

decide whether the y2 = 5y (y-2) is a quadratic equations​

Answer 1

Answer:

y^2 = 5y^2 - 10y

0=4y^2-10y

Therefore it is quadratic.

Answer 2

$\Large \mathfrak \red {Question :-}$

Decide whether the $\sf y^2=5y(y-2)$ is a quadratic equation or not.

$\Large \mathfrak\red {Solution:-}$

$\green \mapsto \sf y^2=5y^2-10y$

$\green \mapsto \sf 5y^2-y^2 - 10y=0$

$\green \mapsto \sf 4y^2-10y=0$

$\sf \blue{ \therefore The\:given\:equation\:is\:a\: quadratic} \\ \sf \blue {equation.}$

$\Large \mathfrak \red {Reason:-}$

An equation is a quadratic equation if it is in the form of $\sf ax^2+bx+c=0$ , where a ≠ 0.

So, $\sf y^2=5y(y-2)$ is a quadratic equation where a ≠ 0.

${\Large \green \bigstar} \underline {\sf \pink{Standard~form~of~quadratic~equation:-}}$

$\: \: \: \: \: \: \: \: \sf ax^2+bx+c=0 \: \:; \: [a ≠ 0]$

$\Large \mathfrak \red {Learn\:more:-}$

The question of similar model was answered by me previously. Check it out for more information :-

https://brainly.in/question/35170722?

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