Answer:
z = x^3 +1
Step-by-step explanation:
Noting the squared term, it makes sense to substitute for that term:
z = x^3 +1
gives ...
16z^2 -22z -3 = 0 . . . . the quadratic you want
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<em>Solutions derived from that substitution</em>
Factoring gives ...
16z^2 -24z +2z -3 = 0
8z(2z -3) +1(2z -3) = 0
(8z +1)(2z -3) = 0
z = -1/8 or 3/2
Then we can find x:
x^3 +1 = -1/8
x^3 = -9/8 . . . . . subtract 1
x = (-1/2)∛9 . . . . . one of the real solutions
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x^3 +1 = 3/2
x^3 = 1/2 = 4/8 . . . . . . subtract 1
x = (1/2)∛4 . . . . . . the other real solution
The complex solutions will be the two complex cube roots of -9/8 and the two complex cube roots of 1/2.
Answer:
X=66°
Step-by-step explanation:
Because it is an isosceles triangle, the 2 missing angles are going to be the same size.
Subtract 48 from the total degree of the triangle which is 180.
180-48= 132
now you di ed that by 2 and you’ll know the missing angle.
132/2= 66
Answer:
33.3333333333
Step-by-step explanation:
Answer:
17x
Step-by-step explanation:
10+7 = 17
7-7 = 0
Answer:
The volume of the right rectangular prism is 180m³
The expression that shows how to calculate the volume is as follows
v = 3m * 15m * 4m
Step-by-step explanation:
To calculate the volume of a rectangular prism we have to use the following formula:
v = volume
w = width = 3m
l = length = 4m
h = height = 15m
v = w * h * l
we replace the values that we know
v = 3m * 15m * 4m
v = 180m³
The volume of the right rectangular prism is 180m³