Question Bank
Explore the world of quadratic equations, learning to solve them using various methods like factoring, completing the square, and the quadratic formula.
Solve the quadratic equation x^2 - 5x + 6 = 0.
Factorize the quadratic expression 2x^2 + 7x + 3.
Find the roots of the quadratic equation 3x^2 - 8x + 4 = 0.
Determine the nature of the roots of the equation 4x^2 - 12x + 9 = 0.
Solve the equation x^2 + 4x - 5 = 0 using the quadratic formula.
Solve the quadratic equation 2x^2 + 3x - 2 = 0 using the quadratic formula.
Factorize the quadratic expression x^2 - 9.
Find the value of k if the equation x^2 + kx + 12 = 0 has equal roots.
Determine the discriminant of the quadratic equation 5x^2 - 2x + 7 = 0.
Solve the equation x^2 + 4x + 4 = 0 by completing the square.
Factorize the quadratic expression 6x^2 - 13x + 6.
Find the sum and product of the roots of the equation 2x^2 - 5x + 2 = 0.
Determine the value of p if the roots of the equation x^2 - px + 9 = 0 are equal.
Solve the quadratic equation 3x^2 + 5x - 2 = 0 by factorization.
Find the roots of the equation 4x^2 - 4x + 1 = 0.
Determine the value of a if the equation ax^2 + 6x + 9 = 0 has real and equal roots.
Factorize the quadratic expression 9x^2 - 16.
Solve the equation 2x^2 - 7x + 3 = 0 using the quadratic formula.
Find the discriminant of the equation 3x^2 + 2x + 1 = 0.
Determine the nature of the roots of the equation x^2 - 6x + 9 = 0.
Solve the quadratic equation 4x^2 - 12x + 9 = 0 by completing the square.
Factorize the quadratic expression 5x^2 - 8x + 3.
Find the value of k if the equation 2x^2 + kx + 8 = 0 has no real roots.
Determine the discriminant of the equation x^2 - 4x + 4 = 0.
Solve the equation 3x^2 + 7x + 2 = 0 by factorization.
Find the roots of the equation 6x^2 - 11x + 4 = 0.
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