Question

Quadratic equation by factorization method and find the correct solution from the given option .4y2=24y
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Answer 1

0 and 5 are the roots of quadratic equation.

Step-by-step explanation:

y=0, y=6

4y²=24y

4y(y-6)=0

4y=0 (y-6)=0

= y= 0 y=6

Answer 2

Given: The quadratic equation $4y^2=24y$ is given.

To find: The solution of the quadratic equation by factorization method.

Solution:

The quadratic equation $4y^2=24y$ is given.

To solve it by the factorization method, we need to rearrange the equation.

On rearranging the equation,

$4y^2-24y=0$

In the factorization method, we need to take the term common and equate the rest with zero.

On solving,

$4y^2-24y=0$

⇒ $4y(y-6)=0$

⇒ $(y-6)=0$  and $4y=0$

⇒ $y=6,0$

As quadratic equations always have more than one solution, therefore, the variable has two values.

Final answer:

Hence, the solution to the quadratic equation is $y=(6,0)$