Question

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

Answer 1

$\huge\bf\mathscr\pink{Your\: Answer}$

YES, its an quadratic equation

step-by-step explanation:

Given equation,

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

Simplifying the terms,

we get,

2 ${x}^{2}$ + 3x = ${x}^{2}$+1

subtracting ${x}^{2}$ both from L.H.S and R.H.S,

we gt,

=> ${x}^{2}$ + 3x = 1

Now,

subtracting 1 from both L.H.S and R.H.S,

we get,

=> ${x}^{2}$ + 3x - 1 = 0

There we get,

a quadratic equation in terms of x

On comparing the coefficients of the equation formed with general form of quadratic equation,

a ${x}^{2}$ + bx + c = 0

we get,

a = 1

b = 3

c = -1

Answer 2

Answer:

Step-by-step explanation:

yes it is quadratic since it is

x^2 - 3x - 1 = 0.