Write the quadratic equation whose roots are
1
and
4
, and whose leading coefficient is
5
.
(Use the letter
x
to represent the variable.)

The quadratic equation whose roots are 1 and 4 , and whose leading coefficient is 5 is 5x^2 - 25x + 20 = 0. Roots are 1 and 4, then (x - 1)(x - 4) = 0 The leading coefficient is 5, then (5x - 5)(x - 4) = 0 Simplify the equation: 5x^2 - 25x + 20 = 0

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Question

Asked 11/19/2014 8:30:11 PM

Updated 11/19/2014 10:08:04 PM

2 Answers/Comments

Edited by jeifunk [11/19/2014 10:08:04 PM]

Rating

8

The quadratic equation whose roots are 1 and 4 , and whose leading coefficient is 5 is 5x^2 - 25x + 20 = 0.

Roots are 1 and 4, then (x - 1)(x - 4) = 0

The leading coefficient is 5, then (5x - 5)(x - 4) = 0

Simplify the equation: 5x^2 - 25x + 20 = 0

Roots are 1 and 4, then (x - 1)(x - 4) = 0

The leading coefficient is 5, then (5x - 5)(x - 4) = 0

Simplify the equation: 5x^2 - 25x + 20 = 0

Added 11/19/2014 10:01:08 PM

This answer has been confirmed as correct and helpful.

Confirmed by jeifunk [11/19/2014 10:08:16 PM]

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