Of the five quadratics listed below, four of them have two distinct roots. The fifth quadratic has a repeated root. Find the value of the repeated root.

-x^2 + 18x + 81

3x^2 - 3x - 168

x^2 - 4x - 4

25x^2 - 30x + 9

x^2 - 14x + 24

Question

Mathematics

Richard Copeland

13 August, 04:25

Of the five quadratics listed below, four of them have two distinct roots. The fifth quadratic has a repeated root. Find the value of the repeated root.

-x^2 + 18x + 81

3x^2 - 3x - 168

x^2 - 4x - 4

25x^2 - 30x + 9

x^2 - 14x + 24

+3

Answers (1)

Know the Answer?

Christine Medina · Answer 1

Answer: 3/5

Step-by-step explanation: The fourth quadratic in the list is the square of a binomial:

25x^2 - 30x + 9 = (5x - 3) ^2

Therefore, the repeated root of this quadratic is the solution to 5x - 3=0, which is 3/5

Of the five quadratics listed below, four of them have two distinct roots. The fifth quadratic has a repeated root. Find the value of the repeated root.-x^2 + 18x + 813x^2 - 3x - 168x^2 - 4x - 425x^2 - 30x + 9x^2 - 14x + 24

Of the five quadratics listed below, four of them have two distinct roots. The fifth quadratic has a repeated root. Find the value of the repeated root.

-x^2 + 18x + 81

3x^2 - 3x - 168

x^2 - 4x - 4

25x^2 - 30x + 9

x^2 - 14x + 24