Question

Show that the polynomial x4+4x2+5 has no zero

Answer 1

Hey user !!

Here is your answer !!

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x^4+4x^2+5=0

By applying quadratic formula

D=b^2-4ac

D=(4)^2-4(1)(5)

D=16-20

D=-4

It has no real roots

Hope it is satisfactory :-)
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Answer 2

⍟ Hey! ⍟

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= x^4 + 4x² + 5

= (x²)² + 4x²+ 5

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•Put x² = a

=> x^4 + 4x² + 6 = (x²)² + 4x² + 5

= a² + 4a + 5

•To get the zero of the polynomial

•Take a²+ 4a + 5 = 0

•So this equation has no real square root

•So there is no zero for this given polynomial

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Regards :)

⍟ Cybary ⍟

Be Brainly :)