22sydneywilson 22sydneywilson
  • 17-02-2020
  • Mathematics
contestada

Find the value of c such that the equation x^2 - c = 0 has 12 and –12 as solutions.

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kudzordzifrancis
kudzordzifrancis kudzordzifrancis
  • 23-02-2020

Answer:

c=144

Step-by-step explanation:

The given equation is [tex]x^2-c=0[/tex]

If this equation has 12 and -12 as roots, then the roots must satisfy the equation.

We substitute x=12 to obtain

[tex]12^2-c=0[/tex]

[tex]144-c=0[/tex]

Solve for c to get:

[tex]144=c[/tex]

This implies that:

[tex]c=144[/tex]

We could have also substitute x=-12 to get the same result.

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