Question

Factor completely x2 + 25

Answer 1

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).

Answer 2

The factor of the given equation is $(x + 5) (x - 5)$

Given that,

• The equation is $x^2 +25$

Based on the above information, the calculation is as follows:

$= x^2 + 25\\\\ = (x = 5) (x - 5)$

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