Courses
Courses for Kids
Free study material
Offline Centres
More
Store

# How do you solve $2x={{x}^{2}}$?

Last updated date: 20th Jun 2024
Total views: 387k
Views today: 8.87k
Hint: We will write the given equation in the standard form. Then we will factorize the given equation. For factoring, we will take common one factor from both the terms. We will do this until we have a product of two terms as the given equation. Then we will solve the factored equation to obtain the possible values of $x$.
The given equation is $2x={{x}^{2}}$. We can rewrite the given equation in the standard form as follows,
${{x}^{2}}-2x=0$
Now, to solve this equation, we will use the method of factorization. For factorization, we will take out a common factor from both the terms in the given equation. From the given equation, we can see that both the terms in the equation are divisible by $x$. So, we can take $x$ as a common factor from both the terms of the given equation. Hence, we have the following,
$x\left( x-2 \right)=0$
Next, we have to solve the above equation. We can see that we have two possibilities. The first possibility is that $x=0$ and the second possibility is $x-2=0$. Therefore, the roots of the given equation are $x=0$ and $x=2$.