Question

Check whether the following are quadratic equation :

a) x² + 3x + 1 = (x - 2)²
b) x³ - 4x² - x + 1 = (x - 2)

Answer 1

To be in quadratic equation
the equation should be in the format of
x²+x+c=0

a)x²+3x+1=(x-2)²

x²+3x+1=x²+4-4x
x²-x²+3x+4x+1-4=0
7x-3=0

since it form linear equation.& it is not in the format too.
hence, it is not a quadratic equation.

b)x³-4x²-x+1=(x-2)
x³-4x²-x-x+1+2=0
x³-4x²-2x+3=0

since it is also not in the format of quadratic equation.
hence it is not a quadratic equation.