If the sum of the two roots of the equation x ^ 2 + 2kx + K + 1 = 0 is 2 root sign 3, then the value of K is

If the sum of the two roots of the equation x ^ 2 + 2kx + K + 1 = 0 is 2 root sign 3, then the value of K is

Because the sum of the two roots of X & sup2; + 2kx + K + 1 = 0 is 2 √ 3
From the relationship between the root and coefficient of quadratic equation of one variable, we can get: - 2K / 1 = 2 √ 3
So k = (2 √ 3) / - 2 = - √ 3
The relation between the root and coefficient of quadratic equation with one variable (also called "Weida theorem"): if a quadratic equation with one variable is ax & sup2; + BX + C = 0, and the two solutions of the equation are x1, x2
Then X1 + x2 = - B / A; x1 × x2 = C / A

On the equation (2kx + a) △ 3 = 2 + (x-bk) △ 6 of X, no matter what the value of K is, its root is always 1. Find the value of A.B

No matter what the value of K is, its root is always 1, so let x = 1 be brought into the equation
(2k+a)÷3=2+(-bk)÷6
The results show that: (4 + b) k = 13-2a
When B = - 4, a = 13 △ 2, no matter what the value of K is, the left and right sides of the equation are 0,
So B = - 4, a = 13 △ 2

In the case of the root of the quadratic equation with one variable x + 2kx + k-1 = 0

The discriminant of root = (2k) ^ 2-4 (k-1) = 4K ^ 2-4k + 4 = (2k-1) ^ 2 + 3 > 0
So the equation has two unequal real roots

My mother likes sweaters?

My mother likes wearing sweater..

My mother loves me, I also love my mother

Mother love me,I love my mother too!

My mother's favorite color is red?

My mother's favorite colour is red.
Red is my mother's favorite colour.
My mother likes red best.
Please take it

She said that she is the one who loves me most in the world

she said that she is the person who loves me the most in the world

Those who really love you will never give up easily

Those who really love you will never give up easily
True love you of person,never easily give up you.

English translation
ditto

I hope I can succeed

Respect those who love you and learn to love others?

respect the person who loved you,learn to love others