number of feal roots of equation x^4+x^2-12=0
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Answered by
1
x^4-x^2-12=0
(x^2-4)(x^2+3)=0
x^2-4=0
(x-2)(x+2)=0
x-2=0
x=2 (real)
x+2=0
x=-2 (real)
x^2+3=0
x^2=-3 will yield imaginary roots
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3
x^4-x^2-12=0
(x^2-4)(x^2+3)=0
x^2-4=0
(x-2)(x+2)=0
x-2=0
x=2 (real)
x+2=0
x=-2 (real)
x^2+3=0
x^2=-3 will yield imaginary roots
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