Soru
11 Solve each of the following bisquared equations : 10 x^4-3x^2+2=0 20 x^4+x^2-2=0 3^circ 4x^4-21x^2+27=0
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4.5
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Usta · 5 yıl öğretmeni
Uzman doğrulaması
Cevap
To solve the, we can use substitution to simplify the process. Let's solve each equation step by step:1.
Let
. Then the equation becomes
. This is a quadratic equation in
. We can solve it by factoring:
So,
or
. Now, substitute back
:
or
Therefore,
or
.2.
Let
. Then the equation becomes
. This is a quadratic equation in
. We can solve it by factoring:
So,
or
. Now, substitute back
:
or
Therefore,
or
.3.
Let
. Then the equation becomes
. We can simplify this equation by dividing all terms by 3:
Now, we can solve this quadratic equation using the quadratic formula:
where
,
, and
.
So,
or
.Now, substitute back
:
or
Therefore,
or
.