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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we have
The solution is the shaded area above the dotted line
we know that
If a point is a solution of the inequality, then the coordinates of the point must satisfy the inequality
We will verify all cases to determine the solution of the problem
<u>Case A)</u> Point
Substitute the value of x and y in the inequality and verify
-------> is not true
therefore
the point is not a solution of the inequality
<u>Case B)</u> Point
Substitute the value of x and y in the inequality and verify
-------> is true
therefore
the point is a solution of the inequality
<u>Case C)</u> Point
Substitute the value of x and y in the inequality and verify
-------> is not true
therefore
the point is not a solution of the inequality
<u>Case D)</u> Point
Substitute the value of x and y in the inequality and verify
-------> is not true
therefore
the point is not a solution of the inequality
therefore
<u>the answer is the Point B</u>
To better understand the problem see the attached figure
Answer:
531441
Step-by-step explanation:
We can find by factorization
531441 = 9 * 9 * 9 * 9 * 9 *9 = (9*9*9) * (9*9*9)