Question

x(2x+3)=x2+1quadratic equation or not
​

Answer 1

Answer:

yup, it is a quadratic equation..

Step-by-step explanation:

$x(2x + 3) = x {}^{2} + 1 \\ {2x}^{2} + 3x = {x}^{2} + 1 \\ 2 {x}^{2} - {x}^{2} + 3x - 1 = 0 \\ {x}^{2} + 3x - 1 = 0$

I hope it helps you

thank you

have a great day

Answer 2

Answer:

yes it is a quadratic equation.

Step-by-step explanation:

x(2x+3)=x^2+1

step1:

multiply x with (2x+3)

=2x^2+3x

2x^2+3x=x^2+1

step 2:

bring left hand side to right hand side and change the sign.

= 2x^2 + 3x- x^2 -1=0

step 3:

=(2x^2-x^2)+(3x)-(1)=0

= x^2+3x-1=0

therefore, x(2x+3)=x^2+1 is a quadratic equation