Multiple choice

Find the nature of the roots of the following quadratic equation. If the real roots exist, find them. $\displaystyle 2x^2 - 3x + 5 =0$

  1. $x=0$ and $ x=-2$
  2. $x=3, x=-6$

  3. No real root.

  4. None of these
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

For the quadratic equation 2x^2 - 3x + 5 = 0, the discriminant D = b^2 - 4ac = (-3)^2 - 4(2)(5) = 9 - 40 = -31. Since the discriminant is negative, the equation has no real roots.

AI explanation

To find the nature of the roots for 2x squared - 3x + 5 equals 0, we calculate the discriminant using the formula b squared minus 4ac. Substituting the values gives negative 3 squared minus 4(2)(5), which equals 9 minus 40, resulting in negative 31. Because the discriminant is less than zero, the quadratic equation has no real roots. There is no real root.

Keep practicing — related questions