1. Solve the quadratic equation x² + 7x + 12 = 0.
2. Find the discriminant of the equation 3x² + 2x + 1 = 0.
3. Factorize the expression x² - 4x + 3.
4. Write the quadratic equation in the form of ax² + bx + c = 0, if the roots are 1 and -2.
5. If the equation x² + kx + 4 = 0 has real and equal roots, find the value of k.
6. Form a quadratic equation with roots 2 and -3.
7. Solve the equation x² + x - 6 = 0 by completing the square.
8. Find the nature of roots of the quadratic equation x² + 6x + 8 = 0.
9. If the equation 2x² + px + 3 = 0 has real and distinct roots, find the range of values of p.
10. Find the value of 'a' if the equation ax² + 2x + 1 = 0 has real and equal roots.
*ANSWER KEY OF TEST*
1. x = -3, -4
2. Δ = -8
3. (x - 3) (x - 1)
4. x² + x - 2 = 0
5. k = +4 ,-4
6. x² + x - 6 = 0
7. x = 2 ,-3
8. Real and distinct
9. p ∈ ( √24 ∞ )
10. a = 1
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