Using the equation x squared minus c equals 0 , what value of c has 9 and -9 as solutions.

Mathematics

1 answer:

Svetach [21]3 years ago

3 0

9514 1404 393

Answer:

c = 81

Step-by-step explanation:

The equation x² -c = 0 can be factored as ...

(x -√c)(x +√c) = 0

which has roots ±√c.

The roots are given as ±9, so we have ...

±9 = ±√c

c = (±9)² = 81

The value c = 81 makes the equation have ±9 as solutions.

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