Question

Check whether the following are Quadratic equations or not
i) (x-2)² + 3 = 2x-1
ii) x(x-1) = (x+2)(x-3)
iii) x (2x+3) = x²+1
iv) (x+2)² = x³-4
With solutions​

Answer 1

I) (x-2)²+3=2x-1

x²+4-4x+3=2x-1

x²-6x+6=0

Yes it is a quadratic equation

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

x²-x=x²-3x+2x-6

6=0

No it is not a quadratic equation

3) x(2x+3)=x²+1

2x²+3x=x²+1

x²+3x-1=0

Yes it is a quadratic equation

4) (x+2)²=x³-4

x²+4+4x=x³-4

-x³+x²+4x+8=0

No it is not a quadratic equation

Hope it helps you