Mathematics Stack Exchange
Mathematics Stack Exchange

Questions tagged [roots]

Questions about the set of values at which a given function evaluates to zero. For questions about "square roots", "cube roots" and such, consider using the (radicals) and the (arithmetic) tag. For questions about roots of Lie algebras, use the (lie-algebra) tag instead.

Questions regarding values $x$, such that a function $f$ evaluates to zero at $x$. For questions about "square roots", "cube roots" and such, consider using the and the tag. For questions about roots of Lie algebras, use the tag instead.

6663 questions
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If $g$ is a primitive root modulo $37$, which of the numbers $g^2, g^3,.., g^8$ is a primitive root modulo 37?

If $g$ is a primitive root modulo $37$, which of the numbers $g^2, g^3,.., g^8$ is a primitive root modulo $37$? This problem is a problem bothering me. Any help would be much appreciated.
Pasie15
  • 491
0
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1 answer

multiplicity and zeros of a function with more on right side

I got to the problem of finding the zeros and their multiplicity for $f(x)=(x^2 -5x + 6)^2$. How do you do it with all that on the right hand side? There isn't an example like that in the book chapter and it's an even numbered problem so no solution…
windy401
  • 1,211
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3 answers

Equations with negative exponents

This may be standard matter, but how an equation of the form $a x + b + c x^{-1} = 0$ is solved?
scand1sk
  • 323
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1 answer

How to get a t from $\sqrt{x}$ and $\sqrt[5]{x^2}$?

I'm solving integrals and the integral is a rational function with these two radicals at the bottom i.e. $\sqrt{x}$ + $\sqrt[5]{x^2}$. The integral is $\int\frac{dx}{x(\sqrt{x} + \sqrt[5]{x^2})} $ The way this integral is solved, it says that I…
BoostedAnimal
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4 answers

Could someone explain the solution to the problem in the screenshot?

This is from a past-years'-questions PDF for an Indian secondary school olympiad. Could someone explain the answer to question no. 6 shown in the picture?
Soham Chowdhury
  • 1,797
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1 answer

Why the domain of the cube root function are all the real numbers?

since it can also be written as x^(1/3) and therefore 1/(x^3) and this would not make sense for x=0 because of the division with 0. So why is 0 in the domain?
katrin
  • 71
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1 answer

Find the roots $n$ how many broots get from the equation

Calculate the number of roots of $s^4+2s^2+1=0$ on right half,left half and imaginary axis of S-plane.
Rohit Kumbhani
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2 answers

Square root of floating point numbers

How can i calculate squareroot of 0.0004. How i deal with .000 section. can anyone explain? I know how to find the square root of normal numbers but the 0.000 section is hard to find.
Rapsis
  • 1
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1 answer

The sum of the 9th power of the roots of the equation $x^3+x-1=0$ are:

Options are as follows: $-6$ $0$ $1$ $2$
raghav rajput
  • 19
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1 answer

Why doesnt √-4 equal 2?

Why doesnt √-4 equal 2 if using the principle x to the power of m/n equals the nth root of x to the power of m causes √-4 = ∜(-4)^2 = ∜16 = 2?
Orion
  • 107
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2 answers

Question to Satisfy a condition for all non-real roots for a polynomial equation by its Derivatives

Prove that if $2a^2<15b$ , not all roots of $x^5 - ax^4 + 3bx^3 + cx^2 + dx + e = 0$ can be real. It is given that $a,b,c,d,e$ belongs to Real number.
Purvik Patel
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1 answer

Does this Question Have Enough Information to Answer?

I need to determine the equation of the function in the graph below. Attached is a graph with x-intercepts at (-4, 0) and (3,0) and another point given at (2,10). I know its not quadratic. Are complex zeros involved, and if so how do I find them?
user3753
  • 823
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3 answers

Solve for $x $(quadratic)

$$ 0=0.001 + \frac{-0.0018 x+0.009 x^2}{\left(\sqrt{0.04 - x^2}\right)^3}$$ Can't seem to figure out a way how to.
iluvAS
  • 173
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1 answer

Prove the iterative scheme converges to the root in [0.4,0.6]

Prove that the iterative scheme $$X_{r+1} = g(X_r) = e^{X_r^{2}-2X_r}$$ with a suitable starting point, converges to the root in $[0.4,0.6]$, by showing that $g$ is a contraction mapping on this interval. Compute the root in $[0.4,0.6]$ to two…
keos
  • 1
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2 answers

How do I the roots of a quadratic function given certain conditions?

Let's say I have an equation $x^2+2(1-m)x+6m-11=0$, how would I go about finding for what values of m are both roots located in the segment -1
extignush
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