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Solve `x^4 -13x^2 +36=0` `Thanks` ` `
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To solve for x, first factorize by splitting the middle term. -13 can be written as the sum of 2 numbers which give a product 36. This can be done as -13 = -9 +(-4). So,
Applying `a^2-b^2=(a+b)(a-b)` we get:
Posted by llltkl on June 21, 2013 at 12:45 AM (Answer #1)
We can split this up into:
Then with this being true we also know that
`(x^2-9)=0` and `(x^2-4)=0`
so solving for x we get that `x^2=9,4`
Taking the square root of both sides gives us:
Posted by zach2794 on June 22, 2013 at 3:07 AM (Answer #2)
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