A few days ago
bubba_274

How to solve x^4-20x^2+64=0?

Step by step would be greatly appreciated, as I have more problems like the one above.

Thanks for your time :]

Top 5 Answers
A few days ago
Anonymous

Favorite Answer

x^4-20x^2+64=0

This is a quadratic equation in x^2.

Put u = x^2 ………….(1)

u^2 – 20u + 64 = 0

(u – 16)(u – 4) = 0

u = 16 or u = 4.

Hence from (1):

x = +/-sqrt(u) = +/-4 or +/- 2.

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A few days ago
Twiggy
It factorises into two brackets, the 1st term in each bracket being x^2 The signs in the brackets are both minus, and the two number terms in the brackets multiply to give 64, and have a sum of -20. The pair of numbers which do this are -4, and -16, so the initial factorisation is:

[x^2-4][x^2-16]. Now, both of these factors can be further factorised, as they are both the difference of two squares,

x^2-4 = [x+2][x-2], and x^2-16 = [x+4][x-4], so the complete factorisation is:

[x+2][x-2][x+4][x-4 = 0, giving as solutions,

x=-2, x=2, x=-4, and x=4. Hope this helps, Twiggy.

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A few days ago
luckygirl1192002
to solve you need to factor

find 2 numbers that multiply to 64 and add to -20 which is -16 and -4

then you find what x should be to make the equation true wich is x^2

the equation is now

(x^2-16)(x^2-4)=0

to finnish, you take one equation at a time so

x^2-16 turns to x^2=16 which simplifies to x= + or – 4

do the same with x^2-4 making it x=+ or – 2

so x=+-4 or +-2

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A few days ago
Anonymous
1. Get rid of anything not a number, so:

4 – 20, 2 + 64.

The answer is -16 and 66. In other words, -82.

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A few days ago
the monster
(x^2-16)(x^2-4)=0

(x-4)(x+4)(x-2)(x+2)=0

x=4 V x= -4 V x=2 V x= -2

It is the best answer.

The previous answers are false

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