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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