MATH 11!

[Madisonmackk]

So i understand that in comparison to other math classes Math 11 is not the most difficult class, But for me.. right now it is ! We're doing Questions like this for example:

Solve x[sup:3ftmifbl]2[/sup:3ftmifbl]-8x+2=0 using the quadratic formula.

Thats not the hard part.. i start to get all meddled up around the time we get to hard inequalities to solve!! Such as the following :

x[sup:3ftmifbl]3[/sup:3ftmifbl]-4x[sup:3ftmifbl]2[/sup:3ftmifbl]-11x+30 which is less than or equal to 0.

How should i go about solving a question like this.. ITS SO CONFUSING !
HELP ME !

 

[fasteddie65]

Solve x^2 - 8x + 2 = 0 using the Quadratic Formula.

a = 1, b = -8, c = 2

x = [-b ± ?(b^2 - 4ac)]/(2a) = {-(-8) ± ?[(-8)^2 - 4(1)(2)]}/[2(1)] = [8 ± ?(64 - 8)]/2 = [8 ± ?56]/2 = (8 ± 2?14)/2 = 4 ± ?14

 

[fasteddie65]

x^3 - 4x^2 - 11x + 30 ? 0.

First solve the equation x^3 - 4x^2 - 11x + 30 = 0.
x = -3, 2, or 5.

Draw a graph and find where it is below the x-axis.

The solution is {x: -? < x ? -3 or 2 ? x ? 5}