Solve sqrt{sqrt{(sqrt{x^2-5})^2}+5} | Microsoft Math Solver

Evaluate

x^{2} - 5 + 5

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Differentiate w.r.t. x

\frac{x}{2 ( x ^{2} - 5 + 5 ) ( x ^{2} - 5 )}

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5 problems similar to:

(x^{2} - 5)^{2} + 5

Similar Problems from Web Search

L

x^{2} + a x - x^{2} + b x < L

x > 0

https://math.stackexchange.com/questions/2945698/least-value-of-l-for-sqrtx2ax-sqrtx2bxl-for-all-x0

x^{2} + a x - x^{2} + b x = \frac{( x ^{2} + a x ) - ( x ^{2} + b x )}{x ^{2} + a x + x ^{2} + b x} = \frac{a - b}{1 + \frac{a}{x} + 1 + \frac{b}{x}}

x > 0

1 + \frac{a}{x} > 1

How do you solve

3 x^{2} - 12 x + 9 + 3 = 3 x

https://socratic.org/questions/how-do-you-solve-sqrt-3x-2-12x-9-3-3x

x = 1 only Explanation: rewrite as

3 x^{2} - 12 x + 9

= 3x - 3 square both sides

3 x^{2}

9 x^{2}

Maximize the value of

x - x^{2} + c x - x^{2}

without using calculus

https://math.stackexchange.com/questions/2954864/maximize-the-value-of-sqrtx-x2-sqrtcx-x2-without-using-calculus

Using the Cauchy-Schwartz inequality

(x - x^{2} + c x - x^{2})^{2} \leq (x + 1 - x) (x + c - x) = c

x - x^{2} + c x - x^{2} \leq c

How do you find the domain of

h (x) = 4 - x + x^{2} - 1

https://socratic.org/questions/how-do-you-find-the-domain-of-h-x-sqrt-4-x-sqrt-x-2-1

h (x)

= (- \infty, - 1] \cup [1, 4]

Explanation: Domain is all possible allowable

x

Factoring the expression

(x^{2} - a)^{2} + M = 0

https://math.stackexchange.com/q/1542043

- M

is problematic. You need to establish that

M

is >= 0 first. From the comments you seem to think that since

M

represents "any number of terms" you can skip this step... this is ...

Why does this outcome change depending on infinity

https://math.stackexchange.com/questions/659725/why-does-this-outcome-change-depending-on-infinity

No, you're missing an absolute value sign on

x

in the denominator. Put differently, note that for large values of

x

x^{2} + 2 x \approx ∣ x ∣ + sgn (x)

x^{2} - 2 x \approx ∣ x ∣ - sgn (x) .

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