Quadratic Equations — Practice Quiz
Gujarat Board · Class 10 · Mathematics
Try a 4-question quiz on Quadratic Equations for Gujarat Board Class 10 Mathematics: tap an answer to check it and see why.
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What is the value of x if x² - 5x + 6 = 0?
If 2x² - 8x + 6 = 0, what are the roots?
What is the discriminant of the equation x² + 4x + 4 = 0?
Solve x² = 25 using the square root method.
Sample Questions
Which of the following are quadratic equations? (Select all correct answers)
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2x² + 3x - 1 = 0, x² - 7 = 0, 4x² = 9
A quadratic equation has the form ax² + bx + c = 0 where a ≠ 0. Options 1, 3, and 5 are quadratic equations. Option 2 is cubic (degree 3), and option 4 is linear (degree 1).
Which methods can be used to solve quadratic equations? (Select all correct answers)
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Factorization, Quadratic formula, Completing the square, Square root method
The four main methods to solve quadratic equations are: factorization, quadratic formula, completing the square, and square root method (for equations of the form x² = k).
Find the roots of x² - 6x + 9 = 0.
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x = 3 (repeated root)
This is a perfect square: x² - 6x + 9 = (x - 3)² = 0. Therefore, x - 3 = 0, giving x = 3 (repeated twice). This is also called equal roots.
What is the sum of the roots of 2x² + 5x - 3 = 0?
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-5/2
For a quadratic equation ax² + bx + c = 0, sum of roots = -b/a. Here a = 2, b = 5, so sum = -5/2.
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