alleryStart learning →For ax² + bx + c = 0, the discriminant is:
- −b² + 4ac
- 4ac − b
- b² − 4ac
- b² + 4ac
Show answer and solution
Correct answer: C. b² − 4ac
The discriminant D = b² − 4ac is the expression under the square root in the quadratic formula.
Andhra Pradesh SSC (Class 10) Quadratic Equations — practice questions — page 2
Explore 63 free Quadratic Equations questions in Andhra Pradesh SSC (Class 10) Mathematics. Open each question or exercise to read its content, reference answers and available explanation.
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Showing questions 31–60 of 63.
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 →Order the steps of the quadratic formulaRead the answer and worked solution →Order the steps to factorise a quadraticRead the answer and worked solution →Spot the equation that does not fitRead the answer and worked solution →Standard form of a quadratic equation isRead the answer and worked solution →Which of the following is a quadratic equation?Read the answer and worked solution →The quadratic formula gives the roots of ax^2 + bx + c = 0 asRead the answer and worked solution →The quantity b^2 - 4ac is called theRead the answer and worked solution →Solve by factorisation: x^2 - 5x + 6 = 0. Roots areRead the answer and worked solution →If the roots of x^2 + bx + c = 0 are 4 and -1, then (b, c) isRead the answer and worked solution →The discriminant of 2x^2 + 5x + 3 = 0 equalsRead the answer and worked solution →Solve: x^2 = 9. The solutions areRead the answer and worked solution →Which quadratic has roots whose sum is 7 and product is 12?Read the answer and worked solution →Solve by factorisation: x^2 + 7x + 10 = 0. Roots areRead the answer and worked solution →What is the nature of the roots of x^2 + 4x + 5 = 0?Read the answer and worked solution →Solve by quadratic formula: x^2 - 4x - 5 = 0. Roots areRead the answer and worked solution →For what k does x^2 + kx + 9 = 0 have equal roots?Read the answer and worked solution →The sum of squares of two consecutive positive integers is 113. The integers areRead the answer and worked solution →If one root of x^2 - 6x + k = 0 is 2, then k equalsRead the answer and worked solution →The product of two consecutive positive odd numbers is 143. The numbers areRead the answer and worked solution →A train covers 360 km at uniform speed. If the speed were 5 km/h more, it would take 1 hour less. The actual speed isRead the answer and worked solution →
Worked practice questions
For x² + 4x + 13 = 0, find the discriminant and classify roots.
- D=−36, no real roots
- D=−36, two real roots
- D=0, equal roots
- D=36, two real roots
Show answer and solution
Correct answer: A. D=−36, no real roots
D = 16 − 52 = −36 < 0, so the equation has no real roots.
For x² − 6x + 9 = 0, find D and the nature of roots.
- D<0, no real roots
- D>0, distinct roots
- D=36, distinct roots
- D=0, equal roots
Show answer and solution
Correct answer: D. D=0, equal roots
D = 36 − 36 = 0. The equation has equal real roots (x = 3 twice).
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