Posted by **ladybug** on Saturday, September 22, 2012 at 4:24pm.

solve the following inequality

16(x^2-1) >16x

the solution set is? or there is no solution.

- pre-calculus -
**Anonymous**, Saturday, September 22, 2012 at 4:40pm
This problem can be solved exactly like a quadratic equation would be:

16(x^2-1) > 16x

16x^2 - 16 > 16x

16x^2 - 16x - 16 > 0

a b c

You use the quadratic formula:

x = (-b +/- sqrt(b^2 - 4ac))/2a

- pre-calculus -
**Steve**, Saturday, September 22, 2012 at 4:54pm
the problem here is that after having solved the equation, you now know where the graph crosses the x-axis. You want to know where

16(x^2-1) > 16x

x^2 - 1 > x

x^2 - x - 1 > 0

Now from what you know about parabolas, it should clear that the graph is above the x-axis everywhere except between the roots, which you found using the method described above.

## Answer This Question

## Related Questions

- calculus - solve the following inequality 15x-16 less than or equal to 15/x is ...
- math/algebra - Solve the polynomial inequality and graph the solution set on a ...
- algebra - Solve the polynomial inequality and graph the solution set on a real ...
- Algebra - Solve the polynomial inequality and graph the solution set on a real ...
- Pre-Calculus - Solve the inequality -2 <3x -5 < 7. Graph the solution set.
- calculus - what is the interval notation for solution set of the inequality x^2+...
- Solve the polynomial inequality - Solve the polynomial inequality and graph the ...
- pre-calculus - solve the the following inequality. write your solution in ...
- pre-calculus - solve the following logarithmic equation. be sure to reject any ...
- Math - 1) Solve: 8x ¨C (6x + 4) = 8 x = -2 2) -7x > 1/15 the solution set is...

More Related Questions