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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

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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Uzman doğrulaması
Usta · 5 yıl öğretmeni

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 .