Multiple choice

Dividing the given quadraic equation into fractory finding the roots of the quadratic equation by using formula method and finding the semi product and nature of roots

  1. $2x^2 - 5x + 3 = 0$
  2. $3x^2 - 8x - 3 = 0$
  3. $\sqrt{2}x^2 + 7x + 5\sqrt{2} = 0$
  4. $x = \dfarc{1}{3x} = \dfarc{1}{6}$
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A Correct answer
AI explanation

The question asks for a standard quadratic equation, which is a polynomial equation of degree two. The expression in option A, $2x^2 - 5x + 3 = 0$, perfectly matches the standard form $ax^2 + bx + c = 0$ with variables and constant coefficients. The other choices are either a cubic equation, contain irrational coefficients, or represent rational expressions rather than standard quadratic equations. Therefore, the standard quadratic equation is $2x^2 - 5x + 3 = 0$.

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