What is the quadratic when roots are given 13 and 3 are given ?

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The roots of the quadratic equation are 13 and 3. The quadratic equation...

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giorgiana1976 | Student

The equation is written as a product of linear factors:

(x - x1)(x - x2) = 0, where x1 and x2 are the roots of the equation.

Since x1 = 13 and x2 = 3, we'll have:

(x - 13)(x - 3) = 0

We'll remove the brackets using FOIL method:

x^2 - 3x - 13x + 39 = 0

We'll combine like terms and we'll get:

x^2 - 16x + 39 = 0

The quadratic whose roots are 13 and 3 is: x^2 - 16x + 39 = 0.

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