The discussion revolves around solving a quadratic inequality derived from the expression (2x-3)(4x+5)>(x+6)(x+6). The subject area is algebra, specifically focusing on inequalities and quadratic functions.
Some participants have provided guidance on finding critical points and interpreting the solutions of the quadratic inequality. There is acknowledgment of the complexity of the problem, with some participants expressing uncertainty about the methods taught in class.
There are indications of missing instructional content, as some participants mention that certain topics have not been covered in class, leading to confusion about solving the inequality.
Well, first, it is NOT (7x)^2, it is 7x^2. As symbolipoint suggested, complete the square or use the quadratic formula to determine the values of x at which 7x^2- 14x- 51= 0. Since the graph of this function is a parabola opening upward, the values of x satisfying the inequality will be less than the lower of the two zeros and larger than the larger. The values of x between the zeros satify "< 0".brwneyes02 said:Homework Statement
Solve the inequality
(2x-3)(4x+5)>(x+6)(x+6)
Homework Equations
factoring?
The Attempt at a Solution
I got to the point where
(7x)^2-14x-51>0 I can't solve this, because it can't be factored out. So am I doing something wrong?
Since the graph of this function is a parabola opening upward, the values of x satisfying the inequality will be less than the lower of the two zeros and larger than the larger. The values of x between the zeros satify "< 0".