The equation (x−1)3=x(x2−1) is a quadratic equation.
True
False
The given equation is (x−1)3=x(x2−1)
x3−3x2+3x−1=x3−x
−3x2+3x+x−1=0
−3x2+4x−1=0
∴ the given equation is quadratic.
x = - 1 is a zero of quadratic polynomial 3x2+7x+2.
1. Check if (x-2)2 = x2 + 5x + 6. Is a quadratic equation?
If the sum of the roots of a quadratic equation is 5 and the product of the roots is also 5, then the equation can be x2−5x+5=0.
x2+2x+1=(3+x)2+3 represents a quadratic equation.