Ask Question
27 April, 08:10

Write the quadratic equation whose roots are 5 and 1, and whose leading coefficient is 5

(Use the letter to represent the variable.)

+2
Answers (1)
  1. 27 April, 08:28
    0
    Answer: the equation is

    5x^2 - 30x - 25

    Step-by-step explanation:

    A quadratic equation is one in which the highest power of the unknown is 2.

    The general form of a quadratic equation is expressed as

    ax^2 + bx + c

    Where c is a constant and a is the leading coefficient

    Assuming we want to write the quadratic equation in x, from the information given, the given roots are 5 and 1 and the leading coefficient is 5. We will just multiply the expression by the leading coefficient.

    Therefore, the linear factors of the quadratic will be (x-5) and (x-1)

    With the leading coefficient as 5, the equation becomes

    5 (x-5) (x-1)

    = 5 (x^2 - x - 5x + 5)

    = 5 (x^2 - 6x + 5)

    = 5x^2 - 30x - 25
Know the Answer?
Not Sure About the Answer?
Find an answer to your question 👍 “Write the quadratic equation whose roots are 5 and 1, and whose leading coefficient is 5 (Use the letter to represent the variable.) ...” in 📗 Mathematics if the answers seem to be not correct or there’s no answer. Try a smart search to find answers to similar questions.
Search for Other Answers