Question

Check the following equation is quadratic or not x(2x+3)=x²+1

Answer 1

Hi,

Here is your answer

Given:

x(2x+3)=x²+1

To Find:

To check whether the equation is quadratic or not.

Solution:

First, simplify the equation

x(2x+3)=x²+1

2x²+3x=x²+1

2x²-x²+3x-1=0

x²+3x-1=0

Since the above equation is in the form ax²+bx+c=0 where a=1, b=3, c= -1

We can say that the equation is quadratic.

Notes:

1. A quadratic equation is always in the form ax²+bx+c=0

2.A quadratic equation has two zeros

Hope this helps you.