Quadratic Equations

What is the sum of the roots of the quadratic equation 2x² - 5x + 3 = 0?

If one root of the quadratic equation x² - 6x + k = 0 is 2, what is the value of k?

The quadratic equation 3x² + px + 12 = 0 has roots 2 and -2. Find p.

Find the roots of the quadratic equation x² - 4x + 5 = 0.

If the roots of the quadratic equation ax² + bx + c = 0 are equal, which of the following is true?

The quadratic equation x² + (k - 3)x + k = 0 has equal roots. Find the value of k.

If the roots of the quadratic equation 4x² - 4x + m = 0 are real and distinct, what is the range of m?

Find the quadratic equation whose roots are 3 + √2 and 3 - √2.

A quadratic equation with roots α and β satisfies α² + β² = 10 and αβ = 3. Find the equation.

If the quadratic equation x² + px + q = 0 has roots in the ratio 3:4 and sum of roots is 21, find p and q.