Posted by Anonymous on Sunday, September 26, 2010 at 12:07pm.
1AND PRODUCTION sum of roots of the equation :X²X6=0
2FOR what values of A the equation has no solution ax ² +3 x7 = 0
3For what values of x the equation has 2 solution X²X+C=0
4Solve the equation (X1)²4=0
5Solve the equation a)2/2 x^(3)=2√2
b)3^(x^22x)=27
c)5/25 x^(+3)=5√5
help me with the solution of this equations please

math  MathMate, Sunday, September 26, 2010 at 12:57pm
1.
Factor the equation to
(x3)(x+2)=0
So the roots are 3 and 2.
Calculate the sum of roots.
2.
A quadratic equation ax²+bx+c=0 has no real roots when the discriminant is less than zero, that is:
b²4ac<0
For the present case,
b=3, c=7
Solve for the inequality in terms of a.
3. and up
Please show some work to indicate where you have difficulties. 
math  Anonymous, Sunday, September 26, 2010 at 1:20pm
a)2/2 x^(3)=2√2
b)3^(x^22x)=27
c)5/25 x^(+3)=5√5
i have difficulties with this three equations 
math  MathMate, Sunday, September 26, 2010 at 2:14pm
a)
2/(2x^(3))=2√2
2/(2x^(3)) = 2√2/1
Cross multiply to get:
2*1 = (2√2)*(2x^(3))
1=2√2/x³
Cross multiply again:
x³=2√2
x³=(√2)³
Can you take it from here?
b)
3^(x^22x)=27
3^(x^22x)=3³
therefore
(x^22x)= 3
Solve for x by factoring
x²2x3=0
(x3)(x+1)=0
...
c)
similar to a).
Post your answer for checking if you wish.