The zeroes are
0, -5, 3 + i (and its conjugate)
The factors are
x (x + 5) (x - (3 + i)) (x - (3 - i))
Expanding...
(x² + 5x)((x - 3) - i) ((x - 3) + i)
(x² + 5x)((x - 3)² - i²)
(x² + 5x)(x² - 6x + 9 - (-1))
(x² + 5x)(x² - 6x + 10)
x⁴ - 6x³ + 10x² + 5x³ - 30x² + 50x
x⁴ - x³ - 20x² + 50x
Step-by-step explanation:
every triangle inscribed into a circle with the baseline being a diameter of the circle must be a right-angled triangle.
therefore,
angle XVY = 90°.
for VY we can use Pythagoras
c² = a² + b²
with c being the Hypotenuse (the line opposite of the 90° angle, in our case XY).
XY = 2×ZY = 2×17 = 34.
so,
34² = 30² + VY²
VY² = 34² - 30² = 1156 - 900 = 256
VY = 16
A = L * W
A = 70
70 = L * W
P = 2(L + W)
P = 34
34 = 2(L + W)
34/2 = L + W
17 = L + W
17 - W = L
70 = L * W
L = 17 - W
70 = W(17 - W)
70 = -W^2 + 17W
W^2 - 17W + 70 = 0
(W - 10)(W - 7) = 0
W - 10 = 0 L = 17 - 10
W = 10 L = 7
W - 7 = 0 L = 17 - 7
W = 7 L = 10
so either the width is 10 meters and the length is 7 meters OR the width is 7 meters and the length is 10 meters
I think that is D cus you take 10 off
