Given the function f (x) = x & # 178; + 2 / x, if the equation f (x) = f (c) has three unequal real roots, find the value range of real number C The known function f (x) = x & # 178; + 2 / X If the equation f (x) = f (c) has three unequal real roots, find the value range of real number C

Given the function f (x) = x & # 178; + 2 / x, if the equation f (x) = f (c) has three unequal real roots, find the value range of real number C The known function f (x) = x & # 178; + 2 / X If the equation f (x) = f (c) has three unequal real roots, find the value range of real number C

Answer: F (x) = x & # 178; + 2 / X derivation: F & # 39; (x) = 2x - 2 / X & # 178; solve F & # 39; (x) = 0, get: F & # 39; (x) = 2x-2 / X & # 178; = 0, so: X & # 179; = 1, x = 1, so: when X & lt; 0 or 0 & lt; X & lt; 1, F & # 39; (x) & lt; 0, f (x) monotonically decrease X & gt; 1, f & # 39; (x) & gt; 0, f (x) & gt; 0, f (x)

If the equation k2x2 + 2 (k-1) x + 1 = 0 of X has two real roots, then the value range of K is ()
A. K < 12b. K ≤ 12C. K < 12 and K ≠ 0d. K ≤ 12 and K ≠ 0

(1) ∵ the quadratic equation of one variable k2x2 + 2 (k-1) x + 1 = 0 has two real roots, ∵ (?) = [2 (k-1)] 2-4k2 ≥ 0 and K2 ≠ 0, and the solution is k ≤ 12 and K ≠ 0

How to define the slope of V-T image? Is it the tangent of the angle between the line and the X axis
What if the unit length changes?

Yes
k=⊿v/⊿t
Unit length change, the result is the same, just look different, because the slope is not only numerical, but also with units

Unit 7 ~ 9 vocabulary of the preparatory course of the first volume of the seventh grade English edition of Jiangsu Education Press!
Review stage ~ angels save me! 100 points! See!

Unit 8: camera, has have, comic, what about How about, model, plane, your (things), bat racket, radio, notebook, notebook, sticker, CD, CD, watch watch watch, hair clip hairpin, mine, I

It is known that the parabola passes through (2, - 1), (- 1, - 1) and (1,1). (1) find the analytical formula of the parabola; (2) what kind of translation should be done to make the vertex of the parabola at the origin? Find the analytical formula of the parabola after translation

y=-x2+x+1
1 / 2 to the left and 5 / 4 to the down

The set of all natural numbers with the remainder of 1 divided by 4 is______ ．

All natural numbers with the remainder of 1 divided by 4 are x = 4N + 1, n ∈ n *; the set of all natural numbers with the remainder of 1 divided by 4 is {x | x = 4N + 1, n ∈ n *}. So the answer is: {x | x = 4N + 1, n ∈ n *}

What are the characteristics of different coordinate systems (polar coordinates and rectangular coordinates) in describing the positions of points and curve equations

This depends on the coordinate system. The contact of coordinate system is generally rectangular coordinate system or polar coordinate system. 1. Polar coordinate system is the content of senior high school. The general research is the relationship between coordinate system and graphics. 2. Rectangular coordinate system is mainly a plane rectangular coordinate system translation problem and space rectangular coordinate system, involving the parameter formula (1) such as plane

Several factorization problems in the second grade of junior high school
1. If the third power of X - the second power of 6x + MX + n has a factor x-4x-5, find m and N, and decompose the original factor
2. If the third power of X + the second power of 5 + 7x + A has the factor X + 1, find a and decompose the original factor

The first question: the factor x-4x-5 should be x ^ 2-4x-5 ~ then M = 3, n = - 10, the factorization of the original formula = (X-2) (x ^ 2-4x-5) = (X-2) (X-5) (x + 1) the second question: a = 3, the factorization of the original formula = (x ^ 3 + 4x ^ 2 + 3x) + (x ^ 2 + 4x + a) = x (x ^ 2 + 4x + 3) + (x ^ 2 + 4x + 3) = (x + 1) (x + 1) (x + 3) = (x + 1)

In the plane rectangular coordinate system, the right angle vertex of the right triangle is placed at P (- 3,3), the two right angle sides intersect with the coordinate axis, and the value of oa-ob is calculated with point a and point B

Because angle APB = angle APC + angle BPC = 90 degree, angle APC + angle PAC = 90 degree, so angle BPC = angle PAC. Because angle ACP = angle BDP = 90 degree, PC = BD = 3, so triangle APC is congruent to triangle PBD, so AC = PD. Because angle BDC = angle PCO = angle AOB = 90 degree, so quadrilateral BDC

4x-3=3x-8

4x-3=3x-8
4x-3x=3-8
x=-5