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Question: The quadratic equation whose one root is \(x^{2} + 5|x| + 4 = 0\)will be....

The quadratic equation whose one root is x2+5∣x∣+4=0x^{2} + 5|x| + 4 = 0will be.

A

log⁡4{log⁡2(x+8−x)}=0\log_{4}\{\log_{2}(\sqrt{x + 8} - \sqrt{x})\} = 0

B

{x∈R:∣x−2∣=x2}=\{ x \in R:|x - 2| = x^{2}\} =

C

log⁡4(x−1)=log⁡2(x−3)\log_{4}(x - 1) = \log_{2}(x - 3)

D

∣x−2∣2+∣x−2∣−6=0|x - 2|^{2} + |x - 2| - 6 = 0

Answer

{x∈R:∣x−2∣=x2}=\{ x \in R:|x - 2| = x^{2}\} =