playboy63132000 playboy63132000
  • 25-07-2019
  • Mathematics
contestada

Write quadratic equation whose roots are 1 and -3 and whose leading coefficient is 4

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Аноним Аноним
  • 25-07-2019

Answer:

4x^2 + 8x - 12 = 0.

Step-by-step explanation:

We first write it in factor form.

4(x - 1)(x + 3) = 0

4(x^2 + 2x - 3) = 0

4x^2 + 8x - 12 = 0 (answer).

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mathstudent55
mathstudent55 mathstudent55
  • 25-07-2019

Answer:

4x^2 + 8x - 12 = 0

Step-by-step explanation:

A quadratic equation with roots a and b has the equation (x - a)(x - b) = 0.

You roots are 1 and -3.

The equation is

(x - 1)(x - (3)) = 0

(x - 1)(x + 3) = 0

We can multiply it out.

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

x^2 + 2x - 3 = 0

Since we need the leading coefficient to be 4, we multiply both sides by 4.

4x^2 + 8x - 12 = 0

Answer Link

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