Quadratic Equations
The discriminant of the quadratic equation 2x² - 7x + 3 = 0 is
Select the correct option:
Solution
25
- Discriminant Formula: For ax2+bx+c=0, the discriminant is D=b2−4ac.
- Identify Values: a=2,b=−7,c=3.
- Calculation:
- D=(−7)2−4(2)(3)
- D=49−24=25.
- Interpretation: Since D>0 and D is a perfect square, the roots are real, distinct, and rational.
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About This Question
- Subject
- mathematics
- Chapter
- complex numbers and quadratic equations
- Topic
- quadratic equations
- Difficulty
- Easy
- Year
- 2025
Solution
Correct Answer:
25
- Discriminant Formula: For ax2+bx+c=0, the discriminant is D=b2−4ac.
- Identify Values: a=2,b=−7,c=3.
- Calculation:
- D=(−7)2−4(2)(3)
- D=49−24=25.
- Interpretation: Since D>0 and D is a perfect square, the roots are real, distinct, and rational.
This easy difficulty mathematics question is from the chapter complex numbers and quadratic equations, covering the topic of quadratic equations. It appeared in the 2025 exam.
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