Question
Check the equation is quadratic equation or not: $(x-2)^2+1=2 x-3$
✓
Answer
Taking L.H.S. $=(x-2)^2+1=x^2-4 x+4+1=x^2-4 x+5$
Therefore, $(x-2)^2+1=2 x-3$ can be rewritten as $x^2-4 x+5=2 x-3$
i.e., $x^2-6 x+8=0$
It is of the form $a x^2+b x+c=0$. Also degree of equation is 2
Therefore, the given equation is a quadratic equation.
Therefore, $(x-2)^2+1=2 x-3$ can be rewritten as $x^2-4 x+5=2 x-3$
i.e., $x^2-6 x+8=0$
It is of the form $a x^2+b x+c=0$. Also degree of equation is 2
Therefore, the given equation is a quadratic equation.
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