Vieta's Equation for Polynomial Equations

If the roots of the quadratic equation x^2 - 3x + 2 = 0 are p and q, then p + q is

• 2
• 3
• 4
• 5

The roots of the equation 2x^2 - x - 1 = 0 are m and n. The product mn is

• 2023-02-01 00:00:00
• =-1/2
• 2
• -2

One root of the equation x^2 - 7x + 10 = 0 is 2. The other root is

• 2
• 3
• 5
• 7

If the roots of x^2 - px + 12 = 0 are 4 and 3, the value of p is

• 5
• 6
• 7
• 8

The roots of the equation 3x^2 + 4x - 7 = 0 are a and b. The sum a + b is

• 2023-03-07 00:00:00
• =-7/3
• 2023-03-04 00:00:00
• =-4/3

One root of the equation x^2 + 2x - 15 = 0 is -5. The other root is

• -2
• 0
• 3
• 5

The roots of the equation 4x^2 - 3x - 2 = 0 are p and q. The sum p + q is

• 3
• 4
• 2023-04-03 00:00:00
• 2023-03-04 00:00:00

The roots of the equation x^2 - 5x + k = 0 are equal. The value of k is

• 4
• 5.25
• 6.25
• 7

The roots of the equation 5x^2 - 11x - 2 = 0 are r and s. The product rs is

• -0.4
• 0.4
• -2
• 2

If the equation x^2 - (a + b)x + ab = 0 has equal roots, then

• a = b
• a^2 = b^2
• a = -b
• a^2 = 4b