Check Whether The Following Are Quadratic Equations (X+1) 2 = 2(X−3)

Check Whether The Following Are Quadratic Equations (X+1) 2 = 2(X−3)

Given equation:\( (x+1)^{2} = 2(x−3) \)

By using the formulae \((a + b)^{2} = a^{2} + b^{2} + 2ab \), we get

=\( x^{2} + 1^{2} + 2 * x * 1 = 2 (x – 3) \)

=\( x^{2} + 1 + 2x = 2x – 6 \)

=\( x^{2} + 1 + 2x – 2x + 6 = 0 \)

=\( x^{2} + 1 + 6 = 0 \)

=\( x^{2} + 7 = 0 \)

=\( x^{2} + 0x + 7 = 0 \)

The obtained equation\( x^{2} + 0x + 7 = 0 is in the form of ax^{2} + bx + c = 0 \)

where a = 1, b = 0 and c = 7

Therefore, the given equation\( (x+1)^{2} = 2(x−3) \)is a quadratic equation

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