Factor. x^2+25 (x+5) (x-5) (x+5) (x+5) (x+5i) (x-5i) (x+5i) (x+5i)

Mathematics

1 answer:

icang [17]3 years ago

4 0

Answer:

( x + 5 i ) ( x − 5 i )

Step-by-step explanation:

Multiply the constant by − i ^2 and factor.

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Use the distance formula, show that the points (4,0), (2,1), and (-1,-5) form the vertices of a right triangle

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The distance formula between two points:

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Substitute the coordinates of the points.

$A(4,\ 0),\ B(2,\ 1),\ C(-1,\ -5)\\\\AB=\sqrt{(2-4)^2+(1-0)^2}=\sqrt{(-2)^2+1^2}=\sqrt{4+1}=\sqrt5\\\\AC=\sqrt{(-1-4)^2+(-5-0)^2}=\sqrt{(-5)^2+(-5)^2}=\sqrt{25+25}=\sqrt{50}\\\\BC=\sqrt{(-1-2)^2+(-5-1)^2}=\sqrt{(-3)^2+(-6)^2}=\sqrt{9+36}=\sqrt{45}$