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2 years ago

|Factor Completely: 2x4 - 200

Mathematics

1 answer:

kozerog [31]2 years ago

7 0

Answer:

2 (x^2-10)((x^2 +10)

Step-by-step explanation:

2x^4 - 200

Factor out 2

2(x^4 -100)

The inside is the difference of squares (a^2 -b^2) = (a-b)(a+b)

2 (x^2-10)((x^2 +10)

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Use the quadratic formula to solve the equation 25x^2-30x+25=0

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Answer: $x=\frac{3}{5}+i\frac{4}{5},\:x=\frac{3}{5}-i\frac{4}{5}$

Step-by-step explanation:

$25x^2-30x+25=0$

$x_{1,\:2}=\frac{-\left(-30\right)\pm \sqrt{\left(-30\right)^2-4\cdot \:25\cdot \:25}}{2\cdot \:25}$

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$x_{1,\:2}=\frac{-\left(-30\right)\pm \:40i}{2\cdot \:25}$

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$x=\frac{3}{5}+i\frac{4}{5},\:x=\frac{3}{5}-i\frac{4}{5}$

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