Solve x4 – 17x2 + 16 = 0. let u = select all of the zeroes of the function. i i

To solve this equation , we need to write it in quadratic form

To get the equation in quadratic form we replace x^2 with u

can be written as

, Replace u for x^2

So equation becomes

Now we factor the left hand side

-16  and -1  are the two factors whose product is +16  and sum is -17

(u-16) (u-1) = 0

u -16 = 0  so u=16

u-1 =0  so u=1

WE assume u = x^2, Now we replace u with x^2

Now take square root on both sides , x= +4  and x=-4

Now take square root on both sides , x= +1  and x=-1

So zeros of the function are -4, -1, 1, 4

answer: 193

explanation:

200-7 = 193