Solve x2 + 14x = −24 by completing the square. what is the solution set of the equation?

In completing the square , we take half of coefficient of middle term x and then square it. Then we add it on both sides of the equation

Here coefficient of middle term x is +14

Half of 14 =

square it , so

Now add 49 on both sides

Take square root on both sides

x + 7 = + - 5

Now make two equations

x+7 = 5 and x+7 = -5

Solve for x by subtracting 7 on both sides

x = -2  and x= -12

Solution set is {-12, -2}

the arc length is found by finding the circumference of the full circle (2xpixradius) and then dividing by 4 to find just one quarter of the circle (90 degrees).