Given the set a = {x | X & # 178; + ax + B = 0} = {1,2}, (1) find the value of a, B, (2) inequality | 2x-a|

Given the set a = {x | X & # 178; + ax + B = 0} = {1,2}, (1) find the value of a, B, (2) inequality | 2x-a|

(1)
Set a = {x | X & # 178; + ax + B = 0} = {1,2}
So X1 + x2 = - a = 1 + 2 = 3
x1x2=c/a=b=1x2=2
So a = - 3
b=2
(2)
|2x-a|

If the system of inequalities 2x-5m about X has no solution, then the range of M is
A.m>3 B.m_ 3 D.m_

The previous inequality is X

We know the univariate quadratic equation x & #178; - 4 (m-2) x + 4m & #178; = 0 about X. find (1) if the equation has two equal real roots, find the value of M, and find that this is the root of the equation; (2) whether there is a real number m, so that the sum of the squares of the two real roots of the equation is 224? If there is, ask for the value of M satisfying the condition. If not, please explain the reason

(1) Discriminant 16 (m-2) ^ 2-16m ^ 2 = 0 ----- > m = 1 root X1 = x2 = 2
(2) Suppose there is: then X1 ^ 2 + x2 ^ 2 = (x1 + x2) ^ 2-2x1x2 = 16 (m-2) ^ 2-8m ^ 2 = 224
M ^ 2-8m-20 = 0, M = 10 or - 2 and discriminant 16 (m-2) ^ 2-16m ^ 2 > = 0 m

We know that M is a quadratic equation with one variable, x square - 2x-1 = 0, and we can solve the equation and find the value of 2m square - 4m + 1

∵x²-2x-1=0
∴x=1±√2
∴m=1±√2
When m = 1 + √ 2
2m²-4m+1
2（1+√2）²-4(1+√2)+1
=3
When m = 1 - √ 2
2m²-4m+1
2（1-√2）²-4(1-√2)+1
=3
The value of 2m & sup2; - 4m + 1 is 3

The condition that quadratic trinomial can be factorized in the range of real number
Under what circumstances can we not factorize

ax²+bxy+cy²
When △ = B & # 178; - 4ac ≥ 0, it is OK, but not less than 0

Inequality system x > - 3 / 2 2x

x> - 3 / 2
2x

If the quadratic trinomial ax ^ 2 + 2x + 3 cannot be factorized in the range of real numbers, then √ 1-6a + 9A ^ 2=

Ax ^ 2 + 2x + 3 cannot be factorized in the range of real numbers
that is
△=4-12a1/3
√1-6a+9a^2=√[1-3a]²
Because a > 1 / 3, so 1-3a

Solving the system of inequalities 2x-3 = 1 / 2 (x-1)

2x-31-
So - 1

If the quadratic trinomial MX ^ 2-5x + 4 can be factorized in the range of real number, then the value range of M is___

m

Solve the inequality x + 3 of 5 ＜ 2x-5-1 of 3
To denominator
Remove brackets
Transfer item
Merge the same items
The coefficient is reduced to 1

To denominator: 3 (x + 3)