All Questions ⁺⁰237754 Questions

0

40

0

+750

Algebra

Find all complex solutions to the equation z^2 = -55 - 48i + 40 + 63i.

siIviajendeukie Feb 22, 2025

0

29

0

+750

Algebra

Find all complex solutions to the equation z^3 = 8i - (15 + 2i)z^2 + (7 - 4i)z.

siIviajendeukie Feb 22, 2025

0

26

0

+977

Algebra

Find all complex numbers z such that |z - 1| = |z + 3| + |z - 2i|.

magenta Feb 22, 2025

0

28

0

+977

Algebra

For parts (a) through (d), let f(x) = 2x^2 - 13x + 20 - 5x^2 + 19x + 7.
What is the vertex of the parabola y = f(x)?

magenta Feb 22, 2025

0

36

0

+977

Algebra

Find the solutions x of the equation
2ix^2 + x + 15i = 7ix - 4

magenta Feb 22, 2025

0

15

1

+977

Algebra

Find all solutions $x$ to the equation
5(2x + 1) + 5*2 = 5*x + 5(x + 3).

magenta Feb 22, 2025

0

29

0

+343

Algebra

Determine the set of all real x satisfying
x^2 + 3x >= -2 - 5x^2 + 10x - 13.
Enter your answer in interval notation.

jaekg Feb 22, 2025

0

42

0

+343

Algebra

Determine the set of all real x satisfying
x^3 - 2x^2 - 3x < -25x^2 + 17x.
Enter your answer in interval notation.

jaekg Feb 22, 2025

0

36

0

+343

Algebra

Determine the set of all real x satisfying
(x^2 - 5x + 3)^2 < 9 + 6x + x^2
Enter your answer in interval notation.

jaekg Feb 22, 2025

0

30

0

+343

Algebra

Find all nonzero constants $a$ such that
ax^2 + 7x + 2 = 5x^2 + 23x - 12
has only one distinct root.

jaekg Feb 22, 2025

0

29

0

+456

Algebra

Find all complex solutions to the equation z^4 = -64 - 16z^2.
Enter all the solutions in the form $a + bi$, where $a$ and $b$ are real numbers.

Jasmo Feb 22, 2025

0

39

0

+456

Algebra

Find all complex solutions to the equation z^8 + 16 = 17z^4 - 8z^6 - 8z^2.

Jasmo Feb 22, 2025

0

38

0

+456

Algebra

Determine the range of the function $(x) = -4x^2-8x-6 + 3x^2 - 17x + 10. Enter your answer in interval notation.

Jasmo Feb 22, 2025

0

39

0

+456

Algebra

Determine the range of the function g(x) = 5x^2 - 2x + 1 + 3x^2 + 20x + 18. Enter your answer in interval notation.

Jasmo Feb 22, 2025

0

38

0

+483

Algebra

Let P(x) be a polynomial of the form
P(x) = 2x^3 + ax^2 - 23x + c,
such that 12 and 7 are roots of P(x). What is the third root?

For the polynomial in part (a), compute the ordered pair (a,c).

bIueb3rry Feb 22, 2025

0

41

0

+483

Algebra

Let P(x) be a polynomial of the form
P(x) = 2x^3 + ax^2 - 23x + c,
such that 3 and 1 are roots of P(x). What is the third root?
For the polynomial in part (a), compute the ordered pair (a,c).

bIueb3rry Feb 22, 2025

0

27

1

+31

Geometry question (again)

In triangle ABC, AB=AC, and angle A is equal to 36. Point D is on AC so that BD bisects ABC.
(a) Prove that BC = BD = AD.
(b) Let x = BC and let y = CD. Using similar triangles BCD and ABC, write an equation involving x and y. read more ..

Jasino Feb 22, 2025

0

23

2

+31

Geometry question

Quadrilateral PQRS is a trapezoid with bases PQ and RS. The median MN meets the diagonals PQ and QS at X and Y, respectively, with X between M and Y as shown below. Find PQ. <read more ..

Jasino Feb 22, 2025

0

33

0

+483

Algebra

Let a and b be integer such that (2 + sqrt(5))(137) = a + b sqrt(5). Compute a^2 - 5b^2.

bIueb3rry Feb 22, 2025

0

12

1

+483

Algebra

Let (2 + \sqrt{5})(137) = a + b \sqrt{5}, where a and b are integers. Compute a^2 - 5b^2.

bIueb3rry Feb 22, 2025

Feb 21, 2025

0

16

1

+483

Algebra

There are integers b, c for which both roots of the polynomial x^2 - x - 3$ are also roots of the polynomial x^3 - bx^2 - c. Determine the ordered pair (b,c).

bIueb3rry Feb 21, 2025

0

39

0

+483

Algebra

Find a monic quartic polynomial f(x) with rational coefficients whose roots include x = 1 + \sqrt{5} - 7 + \sqrt{3}. Give your answer in expanded form.

bIueb3rry Feb 21, 2025

0

21

1

+6

Man im stuck pretty bad

Man im stuck pretty bad
log(y)+log(2) = log(a^(-x)+a^x) solve for x
mymilestonecard

mymilestonecc Feb 21, 2025

0

1

24

0

+1761

Algebra

Suppose P(x) is a polynomial of smallest possible degree such that:
* P(x) has rational coefficients.
* P(-2) = P(\sqrt{5}) = P(\sqrt{7}) = P(\sqrt{17}) = 0.
* P(-1) = 13.
Determine the value of P(0).

parmen Feb 21, 2025

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