Question

Check whether the following are quadratic eqn:-

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

Answer 1

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Answer 2

If they are quadratic equation, so it should be expressed in the form of (ax² + bx + c = 0), a ≠ 0,but b can be equal to 0

Note : above process is also known as factorisation but in quadratic equation we will get 2 values of x,

Checking :-

(x + 1)² = 2(x - 3)

x² + 1² + 2(1)(x) = 2x - 6

x² + 1 + 2x =2x - 6

x² + 1 + 2x - 2x + 6 = 0

x² + 7 =0

x² = -7

x = ±√(-7)

We got 2 values of x,


In this, x² + 7 = 0
[ax² + bx + c = 0]

a = 1
b = 0
c = 7

Hence, they are in quadratic equation.

I hope this will help you

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