# How do you solve the inequality -x^2+14x-49>=0?

Dec 30, 2016

Just x =7

#### Explanation:

Simplifying,

${\left(x - 7\right)}^{2} \le 0$

As (x-7)^2>=0, the solution is (x-7)^2=0 to x = 7.9

The graph for this inequality reveals this point x = 7, on the x-axis

Geometrically,

this is the vertex ( 7, 0 ) of the parabola $y = {\left(x - 7\right)}^{2} \ge 0$.

Relating to this parabola, only the vertex x = 7 satisfies the

inequality.

graph{(x-7)^2<=0 [-10, 10, -5, 5]}