1. (x^2+1)*(x^3+2*x)*(x^2-64)
=(x^2+1)*x*(x^2+2)*(x+8)(x-8)
Solving for each factor in turn, for example,
x^2+1=0 => x^2=-1 => x=+i, x=-i
x=0 => x=0
x^2+2=0 => x^2=2 => x=+sqrt(2)i, -sqrt(2)i
x+8=0 => x=-8
x-8=0 => x=+8
we have solution set
S, whereS={+i, -i, 0, +sqrt(2)i, -sqrt(2)i, -8, +8)
2. A.
x^4-81=0 => x^4=81 => x^2=+9 or x^2=-9
x^2=+9 => x=+3, -3
x^2=-9 => x=+3i, -3i
S={+3i, -3i, +3, -3}
B.
x^4+10x^2+25=0 => (x^2+5)^2=0 => ± (x^2+5)=0 => x^2=-5
=> x=+sqrt(5)i (multiplicity 2 and x=-sqrt(5)i (multiplicity 2)
S={+sqrt(5)i (multiplicity 2) -sqrt(5)i (multiplicity 2)}
C.
x^4-x^2-6=0 => (x^2-3)(x^2+2)=0 => x^2=3 or x^2=-2
S={+sqrt(2)i,-sqrt(2)i, +sqrt(3), -sqrt(3) }
3.
x^4+3x^2-4=0 = (x^2-1)(x^2+4) => x^2=1 or x^2=-4
S={+2i, -2i, +1, -1}
Answer:
I'm not 100% sure but isn't a reflex angle the difference between the angle and 360°?
Then 360° - 120° = 240°
240° x 6 = 1440°
Step-by-step explanation:
9514 1404 393
Answer:
(-11, -8)
Step-by-step explanation:
Reflection across the x-axis changes the sign of the y-coordinate.
For X(-11, 8), the reflected point is X'(-11, -8). (matches the last choice)
Explanation: Given: Clayton bikes 3/8<span> of </span>14.5 miles<span>. </span>38⋅14.5<span>1=43.58=5.4375 </span>miles biked<span>. Left to </span>bike<span> to </span>beach<span>: 14.4−5.4375=9.0625 </span>miles<span>. OR. </span>38 biked<span>, means 58 left to </span>bike: 58⋅14.5<span>1=72.58=9.0625 </span>miles<span>. Was this helpful? </span>
You would do 45 divided by 9 which is 5. Then you do 5x7= 35 and that's your answer
