opugh opugh
  • 03-02-2020
  • Mathematics
contestada

What is the equation to -6 and -1

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kudzordzifrancis
kudzordzifrancis kudzordzifrancis
  • 10-02-2020

Answer:

[tex]x^2+7x+6=0[/tex]

Step-by-step explanation:

Assuming we want to find the quadratic equation whose roots are -6 and -1.

Then we can work backwards to find that equation.

Since -6 and -1 are roots of this equation, by the factor theorem x+6 an x+1 are also factors of the given equation.

[tex]x+6=0\:and\:x+1=0[/tex]

This implies that:

[tex](x+6)(x+1)=0[/tex]

We now expand to get:

[tex]x^2+6x+x+6=0[/tex]

Hence the required equation is [tex]x^2+7x+6=0[/tex]

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