A necessary and sufficient condition for the quadratic equation x2-mx + M2-4 = 0 to have two unequal positive real roots is obtained

A necessary and sufficient condition for the quadratic equation x2-mx + M2-4 = 0 to have two unequal positive real roots is obtained


The quadratic equation x2-mx + M2-4 = 0 of ∵ X has two unequal positive real roots, namely M2-4 (M2-4) & gt; 0, M & gt; 0, M2-4 & gt; 0, to get - 433 & lt; M & lt; 433M & gt; 0m & gt; 0 or M & lt; - 2 ∵ 2 & lt; M & lt; 433



A necessary and sufficient condition for the quadratic equation x2-mx + M2-4 = 0 to have two unequal positive real roots is obtained


The quadratic equation x2-mx + M2-4 = 0 of ∵ X has two unequal positive real roots, namely M2-4 (M2-4) & gt; 0, M & gt; 0, M2-4 & gt; 0, to get - 433 & lt; M & lt; 433M & gt; 0m & gt; 0 or M & lt; - 2 ∵ 2 & lt; M & lt; 433



Let m be a non-zero integer, and the quadratic equation MX ^ 2 - (m-1) x + 1 = 0 has rational roots, then M=____ .
Such as the title


Δ≥0
That is, (m-1) ^ 2-4m ≥ 0
The solution is m ≥ 3 + 2 √ 2 or m ≤ 3-2 √ 2



The difference between the third power of X differential and the third power of X differential


X differential cubic = (DX) ^ 3
To the third power of X differential = DX ^ 3 = 3x ^ 2DX



If AB is opposite to each other and CD is reciprocal to each other, the absolute value of X is equal to twice of its opposite number, the value of cubic abcdx + A + BCD of X is obtained


It can be seen from the meaning of the title:
a+b=0
cd=1
x=0
So x ^ 3-abcdx + A + BCD
=0^3-abcd*0+a+b*1
=0-0+a+b
=0
The answer is 0



How to add, subtract, multiply and divide with 3,4, - 6,10
These four numbers can only be used once each. There are three methods


3*(4-6+10)=24
-6*10/(-3) + 4=24
3*(10-4)-(-6)=24



Given the equation 3x-2y = 1, write it as a function in the form of? When x = 1, y =? When y = 1, X=


Y=3/2X-1/2
When y = 1, x = 1



The surface area of a cuboid is 60cm2. Now we just saw it into two equal cubes. What's the surface area of each cube?


A: the surface area of each cube is 36 square centimeters



11, - 12,3, - 1 is 24 points


(11-(-1))*3+(-12)=24
(-1)-11-(-12)*3=24
(-12)-(((-1)-11)*3)=24



Sine curve arc y = SiNx (0


The derivative of function y = SiNx is cosx. When cosx is the largest, the curvature of this point on function y = SiNx is the largest