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  • 16-03-2021
  • Mathematics
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Write the quadratic equation given the roots 3 and -7

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sqdancefan
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  • 17-03-2021

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Answer:

  y = x² +4x -21

Step-by-step explanation:

In standard form with a leading coefficient of 1, you have ...

  y = x² +bx +c

The coefficient 'b' is the opposite of the sum of the roots: -(3 +(-7)) = 4.

The constant 'c' is the product of the roots: (3)(-7) = -21.

So, the equation is ...

  y = x² +4x -21

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