A quadratic equation has roots 3 and 4. What is the quadratic equation in standard form?

A. X² - 7X + 12 = 0
Posted in:  Quadratic Equations -  Algebra -  Mathematics

If 'APPLE' is coded as '12345', what is the code for 'LEMON' if 'L' is 12, 'E' is 5, 'M' is 13, 'O' is 15, and 'N' is 14?

B. 125131415

If the quadratic equation ax^2 + bx + c = 0 has roots r1 and r2, which of the following is true?

A. R1 + R2 = -B/A
Posted in:  Quadratic Equations -  Algebra -  Mathematics

In a group of five friends: Alice, Bob, Charlie, David, and Eva, the following conditions are given: 1) Alice cannot sit next to Bob. 2) Charlie must sit next to David. 3) Eva cannot sit at either end. Which of the following arrangements satisfies all conditions?

B. EVA, CHARLIE, DAVID, ALICE, BOB

If the roots of the quadratic equation 2x² + 3x + k = 0 are real and equal, what is the value of k?

A. -4.5
Posted in:  Quadratic Equations -  Algebra -  Mathematics