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प्रश्न
Which of the following is a quadratic equation?
(a) `x^3-3sqrtx+2=0` (b) `x+1/x=x^2`
(c)` x^2+1/x^2=5` (d) `2x^2-5x=(x-1)^2`
उत्तर
(d)`2x^2-5x=(x-1)^2`
A quadratic equation is the equation with degree 2.
∵ `2x^2-5x=(x-1)^2`
⇒ `2x^2-5x=x^2-2x+1`
⇒ `2x^2-5x-x^2+2x-1=0`
⇒` x^2-3x-1=0`, which is a quadratic equation
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