Question

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

Answer:

Given equation (x−2)(x+1)=(x−1)(x+3)

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.

Answer 2

$(x - 2)(x + 1) = (x - 1)(x + 3) \\ \\ = > {x}^{2} + x - 2x - 2 = {x}^{2} + 3x - x - 3 \\ \\ = > - x - 2x = - 3 + 2 \\ \\ = > - 3x = - 1 \\ \\ = > x = \frac{1}{3}$

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