It is known that the equation (k2-1) x2 + 2 (K + 1) x + 1 = - 1 about X has real roots, so we can find the value range of K

It is known that the equation (k2-1) x2 + 2 (K + 1) x + 1 = - 1 about X has real roots, so we can find the value range of K

(k²－1)x²＋2(k－1)x＋2＝0
(1) When K & # 178; - 1 = 0, i.e. k = ± 1, the original equation can be reduced to 2 (k-1) x + 2 = 0. If the equation has real roots, then K ≠ 1
∴k＝﹣1
(2) When K & # 178; - 1 ≠ 0, that is, K ≠ ± 1, if the equation has real roots, then ⊿ = 4 (K + 1) &# 178; - 4 (K & # 178; - 1) × 1 ≥ 0
Ψ 2K + 2 ≥ 0 〉 K ≥ - 1 〉 K ＞ - 1 and K ≠ 1
The range of K is k ≥ - 1 and K ≠ 1

Let f (x) be an odd function defined on R, and if x > 0, f (x) = x & sup2;, for any x ∈ [T, t + 2], the inequality f (x + T) ≥ 2F (x) is constant
What is the value range of the real number T

For any x ∈ [T, t + 2], the inequality f (x + T) ≥ 2F (x) holds in the following cases: 1) when t > = 0, (x + T) ^ 2 > = 2x ^ 2, x ^ 2-2tx-t ^ 2 = √ 2; 2) t = 0, it is impossible to

How to solve 10x-3 = 6x + 17

Solution 10x-3 = 6x + 17
10x-6x=17+3
4x=20
x=5

It is known that the focus of the ellipse is on the x-axis, the focal length is 24, and the sum of the distances from a point on the ellipse to two focal points is 40

2C = 24 2A = 40
So C = 6, a = 20
And the focus is on the x-axis
So the elliptic standard equation: x ^ 2 / 400 + y ^ 2 / 364 = 1
Happy New Year!

How to solve the equation 2x + 50 = 360?

2x+50=360
2x=360-50
2x=310
x=155

Would you please tell me the math problem sin30 ° + cos30 ° - tan45 ° by someone who knows it, thank you, 4Y

Why add another stroke
Wandering aimlessly
Without saying a word, the boy took the bottle and drank it. Then he went home and lay down on the Kang with tears
It's still big
Ah, I can't remember what day tomorrow should be

How to solve the equation of 1 / 5 plus x = 4 / 7

How much is five sixths minus one seventeenth?

How to solve the equation of 8x = x-50

Merge congeners 8x-x = - 50
7X=-50
X = - 50 / 7

In Hangzhou middle school basketball match, Xiao Fang played 10 games. He scored 22, 15, 12 and 19 points in the 6th, 7th, 8th and 9th Games respectively. His average score y in the first nine games is higher than that in the first five games. If his average score in the 10th game is more than 18 points. (1) express y with algebraic formula containing x; (2) Xiao Fang's total score in the first five games What is the maximum value that can be achieved; (3) what is the minimum value that Xiao Fang can achieve in game 10?

(1) Y = 5x + 22 + 15 + 12 + 199 = 5x + 689; (2) from the meaning of the question, y = 5x + 689 > x, the solution is x < 17, so Xiao Fang's maximum total score in the first five games should be 17 × 5-1 = 84; (3) from the meaning of the question, Xiao Fang's score in the 10 games is at least 18 × 10 + 1 = 181, if his score in the 10th game is s, then he has 84 + (22 + 15 + 12 + 19) + s ≥ 181, the solution is s ≥ 29, so Xiao Fang's score in the first five games The minimum score in game 10 should be 29