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Let a and b be the roots of the quadratic x^2 - 5x + 3 = 2x^2 - 11x + 14. Find the quadratic whose roots are a^2 and b^2.

 Dec 7, 2022
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I want you to do a portion of it to so im going to do half of it.

 

so first lets simplify this

\(x^2 - 5x + 3 = 2x^2 - 11x + 14\)

\(x^2-6x+11=0\)

oh man... this is crazy..

\(a=3+\sqrt{2}i,\:b=3-\sqrt{2}i\)

this is definently not what i had in mind...

ok so now you square them...

\(a=7+(6i)\sqrt{2}\)

\(b=7+(-6i)\sqrt{2}\)

I guess you have to find a quadratic...

 Dec 7, 2022

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