Solve the polynomial equation x^3-27=0 by factoring. (with explanations of each step)
Answers
x³ + 3x² - 3x² + 9x - 9x - 27 = 0
x³ + 3x² + 9x - 3x² - 9x - 27 = 0
x(x²) + x(3x) + x(9) - 3(x²) - 3(3x) - 3(9) = 0
x(x² + 3x + 9) - 3(x² + 3x + 9) = 0
(x - 3)(x² + 3x + 9) = 0
x - 3 = 0 or x² + 3x + 9 = 0
+ 3 + 3 x = -(3) ± √((3)² - 4(1)(9))
x = 3 2(1)
x = -3 ± √(9 - 36)
2
x = -3 ± √(-27)
2
x = -3 ± 3i√(3)
2
x = -1.5 ± 1.5i√(3)
x = -1.5 + 1.5i√(3) or x = -1.5 - 1.5i√(3)
In each step I have to factor the equation to a trinomial so that it could be factored into the sums and differences of cubes. Then, I have to use the quadratic equation in order to find the two solutions of the second factor, which is equal to -1.5 + 1.5i√(3) and -1.5 - 1.5i√(3), while on the first factor I have to find the solution to the first factor, making the solution equal to 3. So the solutions to the polynomial equation are the numbers 3, -1.5 + 1.5i√(3), and -1.5 - 1.5i√(3).
Solution Set: {3, -1.5 ± 1.5i√(3)}
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Answer:
Si Pepe debía 27 y su mamá le presto y le va a sobrar es
50-27=23
Answers
Answer:
a = 7.4
Step-by-step explanation:
Since this is a right triangle, we will use the Pythagorean theorem:
c^2 = a^2 + b^2
28^2 = a^2 + 27^2
784 = a^2 + 729
55 = a^2
a = 7.4
Answer:
55 i believe
28 + 27 = 55
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or
True
Answers
Answer:
true
Step-by-step explanation:
0 < -2
I hope that helped :)
Answer:
false
Step-by-step explanation:
I put it into a graphing calculator
Answers
The hundred digit is 4. After the 4, is 2. And 2 is not up to 5, so we round down, by stepping down to zeros.
≈ 400 to the nearest hundred