F(x) =x2-17x+60 how to find the zeros of the function
2 answers:
Answer:
x = 5, x = 12.
Step-by-step explanation:
This is a quadratic function which may factor to the form (x - a)(x - b) whose zeroes are a and b.
To factor this we need two numbers whose product is +60 and whose sum is -17. They are -5 and -12 ( -5*-12 = 60 and -12 + -5 = -17).
So the factors are :
(x - 5)(x - 17)
To find the zeros we equate this to 0:
(x - 5)(x - 17) = 0
x- 5 = 0 gives x = 5
and
x - 12 = 0 gives x = 12.
Answer:
x = 1&16
Step-by-step explanation:
f(x) = 0 then
0 =x^2 - 17x + 16
(x-1)(x-16) =0
x -1 =0 or x-16=0
x =1 & x = 16
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