Question

Which of the following equations has the sum of the roots -5? *

A) 3x²−15x+3=0
B) x²−5x+3=0
C) x²+3x−5=0
D) None of above​

Answer 1

Answer: None of the above (Option D)

Step by step explanation:

A) The sum of the roots of 3x² − 15x + 3 = 0, is:

[5 + √21] / 2 + [5 - √21] / 2 = 5

B) The sum of the roots of x² − 5x + 3 = 0, is:

[5 + √13] / 2 + [5 - √13] / 2 = 5

C) The sum of the roots of x² + 3x − 5 = 0, is:

[-3 + √29] / 2 + [-3 - √29] / 2 = -3

Since in none of the equations the sum of its roots is -5, the answer is: OPTION D.