Quadratic Equations
ICSE · Class 10 · Mathematics
Practice quiz for Quadratic Equations — ICSE Class 10 Mathematics. MCQs and questions with answers to test your preparation.
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What is the discriminant of the quadratic equation 2x² + 3x - 5 = 0?
Solve x² - 7x + 12 = 0 by factorization.
If the discriminant of a quadratic equation is zero, what can you say about its roots?
Using the quadratic formula, solve x² + 4x + 3 = 0.
Sample Questions
Which of the following equations has no real roots?
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x² + 2x + 5 = 0
For x² + 2x + 5 = 0, D = 4 - 20 = -16 < 0, so no real roots. Other options have D ≥ 0.
The quadratic equation x² - 8x + k = 0 has equal roots. Find k.
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16
For equal roots, D = 0. Here D = 64 - 4k = 0, so 4k = 64, giving k = 16.
Solve (x - 2)(x + 3) = 0.
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x = 2, -3
Using zero product rule: if (x - 2)(x + 3) = 0, then x - 2 = 0 or x + 3 = 0. So x = 2 or x = -3.
Which of the following methods can be used to solve quadratic equations? (Select all correct)
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Factorization, Quadratic formula, Completing the square, Graphical method
Factorization, quadratic formula, completing the square, and graphical methods are all valid for solving quadratics. Linear substitution is not a standard method for quadratics.
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