alleryStart learning →How many solutions can a quadratic equation have at most?
- One
- Three
- Two
- Four
Show answer and solution
Correct answer: C. Two
A second-degree polynomial equation can have no more than two roots, counting a double root once.
CA Foundation Quadratic Equation — practice questions
Explore 52 free Quadratic Equation questions in CA Foundation Quantitative Aptitude. Open each question or exercise to read its content, reference answers and available explanation.
Practise Quadratic Equation with Quill →Quadratic Equation questions and exercises with answers
Showing questions 1–30 of 52.
How many solutions can a quadratic equation have at most?Read the answer and worked solution →If a = 0 and b ≠ 0 in ax² + bx + c = 0, the equation becomesRead the answer and worked solution →What is the discriminant of x² − 6x + 5 = 0?Read the answer and worked solution →The roots of x² − 5x + 6 = 0 areRead the answer and worked solution →What is the nature of the roots of x² + 4x + 4 = 0?Read the answer and worked solution →A monic quadratic with roots 2 and 5 isRead the answer and worked solution →For what k does x² − 6x + k = 0 have equal roots?Read the answer and worked solution →One root of x² − 8x + k = 0 is 3. What is k?Read the answer and worked solution →Solve 2x − 7 = 11 for x.Read the answer and worked solution →Solve 3x + 5 = 2x + 12.Read the answer and worked solution →Five times a number, decreased by 8, equals 27. The number isRead the answer and worked solution →Two numbers sum to 45 and differ by 9. The larger isRead the answer and worked solution →If x + y = 10 and x − y = 4, then x isRead the answer and worked solution →3 pens and 2 notebooks cost Rs 70; 1 pen and 2 notebooks cost Rs 50. One notebook costsRead the answer and worked solution →The solution set of a linear equation in two variables forms aRead the answer and worked solution →The slope of the line 3x + 4y = 12 isRead the answer and worked solution →In ax + by = c with b = 0 and a ≠ 0, the line isRead the answer and worked solution →The slope of the line through (1, 2) and (3, 8) isRead the answer and worked solution →A line has slope 2 and y-intercept −3. Its equation isRead the answer and worked solution →A linear equation ax + b = 0 with a ≠ 0 has how many solutions?Read the answer and worked solution →The pair 2x + 3y = 6 and 4x + 6y = 12 hasRead the answer and worked solution →The highest power of the variable in a cubic equation isRead the answer and worked solution →A cubic with real coefficients has at least how many real roots?Read the answer and worked solution →A real cubic with negative discriminant has how many real roots?Read the answer and worked solution →If the discriminant of a cubic is zero, the cubic hasRead the answer and worked solution →The sum of the roots of x³ − 6x² + 11x − 6 = 0 isRead the answer and worked solution →A root of 2x³ + 3x² − 8x + 3 = 0 isRead the answer and worked solution →Who found a method for x³ + mx = n in the early 16th century?Read the answer and worked solution →Which book included a calculation with complex numbers arising from cubics?Read the answer and worked solution →To whom did Tartaglia reveal his cubic method in 1539?Read the answer and worked solution →
Worked practice questions
If a = 0 and b ≠ 0 in ax² + bx + c = 0, the equation becomes
- Cubic
- Quadratic
- Linear
- An identity
Show answer and solution
Correct answer: C. Linear
With the x² term gone, only bx + c = 0 remains, which has degree one.
What is the discriminant of x² − 6x + 5 = 0?
- 25
- 8
- 16
- 4
Show answer and solution
Correct answer: C. 16
Discriminant b² − 4ac = 36 − 20 = 16.
How to practise
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