Solve the equation by completing the square. round to the nearest hundredth if necessary. 4x2 + 8x – 32 = 0

For this case we must solve the following expression by completing squares:

We divide between 4 on both sides of the equation:

We add 8 to both sides of the equation:

We divide the middle term between 2 and square, this we add to both sides of the equation:

We apply root to both sides:

We have two roots:

answer: evaluate the objective function at each vertex to determine which - and -values, if any, maximize or minimize the function. example: find the minimum value and maximum value of the objective function f ( x , y ) = 4 x + 5 y , subject to the following constraints