Find all roots (zeros) please show work!!
1 answer:
Answer:
- , 0
Step-by-step explanation:
8x⁴ + x = 0
factor out x:
x(8x³ + 1) = 0
The zero product property says that one of the terms needs to be equal to 0:
x = 0
8x³ + 1 = 0
Solve for x in the 2nd equation:
8x³ = -1
x³ = -
x = -
When x is either 0 or - , the product will be equal to zero.
The roots are 0 and -
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Answer:
x = y = 2√2
Step-by-step explanation:
Find the diagram attached
To get the unknown side x and y, we need to use the SOH CAH TOA identity
Opposite side = x
Adjacent = y
Hypotenuse = 4
Sin theta = opposite/hypotenuse
sin 45 = x/4
x = 4 sin 45
x = 4 * 1/√2
x = 4 * 1/√2 * √2/√2
x = 4 * √2/√4
x = 4 * √2/2
x = 2√2
Similarly;
cos theta = adjacent/hypotenuse
cos 45 = y/4
y = 4cos45
y = 4 * 1/√2
y = 4 * 1/√2 * √2/√2
y = 4 * √2/√4
y = 4 * √2/2
y = 2√2
