<span> x^4 - 8x^3 + 17x^2 - 8x + 16 = 0
x^4 - 8x^3 + 16x^2 + x^2 - 8x + 16 = 0
x^2(x^2 - 8x + 16) + (x^2 - 8x + 16) = 0
(x^2 + 1)(x^2 - 8x + 16) = 0
(x^2 + 1)(x - 4)^2 = 0
x^2 + 1 = 0 or x - 4 = 0
x^2 = -1 or x = 4
x = +/- i or x = 4
Technically there are 2 imaginary solutions and 1 real solution.
However, since the real solution occurs twice (multiplicity 2), you
could say there are 2 real solutions (although they're the same). So the
second answer would apply. </span>
Answer:
= 1/3
Step-by-step explanation:
= 
if f(x) = y,
= x, so
= 3 since f(3) = 52
finding f'(3)
f'(x) = 3
f'(3) = 3
= 1/f'(x) = 1/3
X is 15 inches long.
Work is shown in the picture
Answer:
The print is 18 inches longer then it is wide
Step-by-step explanation:
I multiplied 12 x 4 becuase there are 12 inches in a foot to get 48 inches. So the print is 48 inches long. Then I multiplied 2 times 12 to get 24 and then 24+6 + 30 so the rug is 30 inches wide. Finally I subtracted 30 from 48 to get the diffrence in inches. Which is 18 :)