3 years ago

Factor completely x2 + 25

Mathematics

1 answer:

Ganezh [65]3 years ago

6 0

Answer:

(x - 5i)(x + 5i)

Step-by-step explanation:

Write this as x^2 + 25. Solving for x^2, we get x^2 = -25.

Recall that the square root of a negative number is an imaginary one. √(-25) equals ±5i (there are two roots, one positive and one negative).

Then x = ±5i.

In factored form, the given expression is (x - 5i)(x + 5i).

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