Check whether the following is a quadratic eq | vedclass

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(A) Given equation: $(x+1)^{2}=2(x-3)$Expanding the left side using the identity $(a+b)^{2} = a^{2} + 2ab + b^{2}$:$x^{2} + 2x + 1 = 2(x-3)$Distributi

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(A) Given equation: $(x+1)^{2}=2(x-3)$Expanding the left side using the identity $(a+b)^{2} = a^{2} + 2ab + b^{2}$:$x^{2} + 2x + 1 = 2(x-3)$Distributing the $2$ on the right side:$x^{2} + 2x + 1 = 2x - 6$Subtracting $2x$ from both sides:$x^{2} + 1 = -6$Adding $6$ to both sides:$x^{2} + 7 = 0$Since this equation is of the form $ax^{2} + bx + c = 0$ (where $a=1, b=0, c=7$),it is a quadratic equation.

Check whether the following is a quadratic equation:
$(x+1)^{2}=2(x-3)$

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Check whether the following is a quadratic equation:$(x+1)^{2}=2(x-3)$