If. f(x) = ax2 +bx+ c, where a> 0 and D < 0, then we discard it Solve for x: x4−4≤0

Given in-equation is x4−4≤0⇒ x2−2x2+2≤0⇒ x2−2≤0⇒ (x+2)(x−2)≤0⇒ −2≤x≤2⇒ x∈[−2,2]

If. f(x) = ax2 +bx+ c, where a> 0 and D < 0, then we discard it Solve for x: x4−4≤0

Given in-equation is x4−4≤0⇒ x2−2x2+2≤0⇒ x2−2≤0⇒ (x+2)(x−2)≤0⇒ −2≤x≤2⇒ x∈[−2,2]

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If. f(x) = ax² +bx+ c, where a> 0 and D < 0, then we discard it Solve for x: $x^{4} - 4 \leq 0$

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$x \in [- \sqrt{2}, \sqrt{2}]$

answer is D.

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Detailed Solution

Given in-equation is

$\begin{array}{ll} x^{4} - 4 \leq 0 \\ \Rightarrow (x^{2} - 2) (x^{2} + 2) \leq 0 \\ \Rightarrow (x^{2} - 2) \leq 0 \\ \Rightarrow (x + \sqrt{2}) (x - \sqrt{2}) \leq 0 \\ \Rightarrow - \sqrt{2} \leq x \leq \sqrt{2} \\ \Rightarrow x \in [- \sqrt{2}, \sqrt{2}] \end{array}$