Maths · Quadratic equations in real and complex number systems and their solutions
Check whether has real roots or no.
Check whether \( 2 x^{2}-3 x+5=0 \) has real roots or no.
- A. The equation has real roots.
- B. The equation has no real roots.
- C. Data insufficient
- D. None of these
Step-by-step solution
For the quadratic equation 2x^2 - 3x + 5 = 0, the discriminant is D = b^2 - 4ac = (-3)^2 - 4*2*5 = 9 - 40 = -31. Since D < 0, the equation has no real roots.
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