Class 10

Math

All topics

Quadratic Equations

STATEMENT - 1 : $(x−2)(x+1)$ $=$ $(x−1)(x+3)$ is a quadratic equation.

STATEMENT - 2 : If $p(x)$ is a quadratic polynomial, then $p(x)$ $=$ $0$ is called a quadratic equation.

- Statement - 1 is True, Statement - 2 is True, Statement - 2 is a correct explanation for Statement - 1
- Statement - 1 is True, Statement - 2 is True : Statement 2 is NOT a correct explanation for Statement - 1
- Statement - 1 is True, Statement - 2 is False
- Statement - 1 is False, Statement - 2 is True

To find whether the given equation is a quadratic equation or not

Sol:

$(x−2)(x+1)=(x−1)(x+3)⟹x_{2}+x−2x−2=x_{2}+3x−x−3⟹x_{2}−x_{2}+x−2x−3x+x−2+3=0⟹−3x+1=0$

This is not a quadratic equation as an equation of degree two is called a quadratic equation.

And, a polynomial when equated to zero or some value becomes an equation.