Question

Find the minimum value of the function f(x) = x^2+9x-16

Answer 1

So many ways to do this. Do you know calculus yet?

Answer 2

First assuming that you don't...

In quadratic functions in the form \(f(x) = ax^2 + bx + c\) and \(a>0\), the minimum value of \(f(x)\) occurs when \(x= -\frac{b}{2a}\). In other words, \(f\left(-\frac{b}{2a}\right)\) is the minimum value.

Answer 3

You can either find the root using algebra and factor, or take the first derivative.

Answer 4

sorry! i lost internet connection but i solved it and got –2.500 @ParthKohli

Answer 5

negative 2.500, am i right?

Answer 6

Hmm, seems not...

Answer 7

really? are you sure? @ParthKohli

Answer 8

oh wait i thought this was for a different problem, for this i got–36.250

Answer 9

That's right.

Answer 10

negative 36.250

Answer 11

yes! thanks !

Answer 12

No problem!