Question

check whether quadratic equations are not. (x-2)(x+1)=(x-1)(x+3)
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Answer 1

SolutioN :

Taking given Equation.

$\tt : \implies(x - 2) (x + 1) = (x - 1)(x + 3) \tt : \implies(x - 2) (x + 1) = (x - 1)(x + 3)$

$\tt : \implies {x}^{2} + x - 2x + 2 = {x}^{2} + 3x - x - 3.$

$\tt : \implies 3x + 5 = 0.$

$\tt : \implies - x + 2 = 2x - 3.$

$\tt : \implies 3x - 5=0.$

No, it is not Quadratic Equations.

Therefore, the given Equation is not Quadratic Equations.

Example :

• ax² + bx + c = 0.
• 5x² + 7x = 0.
• 4x² +1 = 0.

Note : always Quadratic Equations have degree 2 and a ≠ 0.