For what value of x between − 9 and 9, inclusive, is the value of x^2 − 10x + 16 the greatest?

For what value of x between − 9 and 9, inclusive, is the value of x^2 − 10x + 16 the greatest?

Quiz

Answer/Solution

− 9

Steps/Work

we can see from the statement that two terms containing x, x^2 will always be positive and -10x will be positive if x is -ive..
so the equation will have greatest value if x is -ive, and lower the value of x, greater is the equation.
so -9 will give the greatest value..
ans A