Question

2. Check whether x(2x + 3)=x2+1 it a quadratic equation or not.​

Answer 1

Step-by-step explanation:

x(2x+3)=x2+1

multiply x with 2x+3

2x2+3x=x2+1

bring x2 toleft hand side

2x2-x2+3x=1

bring 1toLeft hand side so 0 would be left on right hand side

x2+3x-1=0

so,power of x is 2

hence it is a quadratic equation

Answer 2

Answer: Yes it is an quadratic equation

Step-by-step explanation:

X(2x + 3) = x² + 1

= 2x² + 3x = x² + 1

= 2x²-x² + 3x - 1 = 0

= x² + 3x - 1 = 0

Therefore as,

X is the only variable used

The highest index is 2

a is not equal to 0

Therefore, the given equation is an quadratic equation