allerySolve 2x² + 7x + 3 = 0.
- x = −3, 1/2
- x = 3, −1/2
- x = 3, 1/2
- x = −3, −1/2
Show answer and solution
Correct answer: D. x = −3, −1/2
Split middle: 2x² + 6x + x + 3 = 0
⇒ 2x(x + 3) + (x + 3) = 0
⇒ (2x + 1)(x + 3) = 0. Roots: x = −3 and x = −1/2.
CBSE Class 10 Quadratic Equations — practice questions — page 2
Explore 50 free Quadratic Equations questions in CBSE Class 10 Mathematics. Open each question or exercise to read its content, reference answers and available explanation.
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Showing questions 31–50 of 50.
Solve 2x² + 7x + 3 = 0.Read the answer and worked solution →Solve x² − 8x + 16 = 0.Read the answer and worked solution →The roots of x² − x − 12 = 0 are:Read the answer and worked solution →A rectangular plot has its length 3 m more than its width, and its area is 54 m². Find its width.Read the answer and worked solution →For ax² + bx + c = 0, the discriminant is:Read the answer and worked solution →For x² + 4x + 13 = 0, find the discriminant and classify roots.Read the answer and worked solution →For x² − 6x + 9 = 0, find D and the nature of roots.Read the answer and worked solution →Solve 2x² − 5x + 3 = 0 by the quadratic formula.Read the answer and worked solution →For what value of k does x² + kx + 16 = 0 have equal roots?Read the answer and worked solution →Solve x² − 2x − 4 = 0.Read the answer and worked solution →The discriminant of ax² + bx + c is:Read the answer and worked solution →If the discriminant equals 0, the quadratic has:Read the answer and worked solution →Quadratic formula.Read the answer and worked solution →CLASS10 · Mathematics · Quadratic Discriminant — Gap FillRead the answer and worked solution →True or false: quadratic equationsRead the answer and worked solution →What does the discriminant tell you?Read the answer and worked solution →Match each quadratic discriminant D = b² - 4ac value with the nature of roots:Read the answer and worked solution →Match each quadratic equation with its roots:Read the answer and worked solution →Match each relation between roots α, β of ax² + bx + c = 0 with its formula:Read the answer and worked solution →Match each geometric word problem with its quadratic equation model:Read the answer and worked solution →
Worked practice questions
Solve x² − 8x + 16 = 0.
- x = 2, 4
- x = 4, −4
- x = 4, 4
- x = 8, 16
Show answer and solution
Correct answer: C. x = 4, 4
Perfect square: (x − 4)² = 0. Single root x = 4 (counted twice).
The roots of x² − x − 12 = 0 are:
- 3 and 4
- −3 and 4
- −3 and −4
- 3 and −4
Show answer and solution
Correct answer: B. −3 and 4
Need product −12 and sum −1: numbers are −4 and 3. Factor: (x − 4)(x + 3) = 0. Roots: x = 4 and x = −3.
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