All Questions ⁺⁰237750 Questions

0

114

1

+1662

Algebra

Factor x^2 - 8x + 15 + x^2 - 4x + 3
Find all values of x such that x^2 - 8x + 15 + x^2 - 4x + 3 = 0. If you find more than one value, then list your solutions, separated by commas.

wiseowl Nov 12, 2023

Nov 11, 2023

0

61

1

+818

help with algebra

Simplify the expression
\frac{1}{\sqrt{36}} - \sqrt{27} - \frac{1}{\sqrt{27}} - \sqrt{18} + \frac{1}{\sqrt{18}} - \sqrt{9}

maximum Nov 11, 2023

0

76

1

+818

complex numbers

Compute (1 + i)/(2 - i)(3 + i).

maximum Nov 11, 2023

0

80

2

+24

please help asap

For certain values of k and m, the system
3a + 2b = 2
6a + 2b = k - 3a - mb
has infinitely many solutions (a,b). What are k and m? read more ..

iuuhfeusedhu Nov 11, 2023

+5

60

2

+180

When a square with area 9 is dilated by a scale factor of k we obtain a square with area 25 Find the sum of all possible values of k

When a square with area 9 is dilated by a scale factor of k we obtain a square with area 25 Find the sum of all possible values of k

itsash Nov 11, 2023

0

100

1

+1761

probability question

A stick is broken at two points, chosen at random. If the length of the stick is 6 units, then what is the probability that all three resulting pieces are shorter than 2 units?

parmen Nov 11, 2023

0

124

0

+1761

plz help with probability

A bag contains five white balls and eight black balls. Your goal is to draw two black balls.
a) You simultaneously draw two balls at random. What is the probability that they are both black?
b) You simultaneously read more ..

parmen Nov 11, 2023

0

97

2

+818

plz help

The real numbers $a$ and $b$ satisfy $a - b = 1$ and $a^3 - b^3 = 1.$
(a) Find all possible values of $ab.$
(b) Find all possible values of $a + b.$
(c) Find all possible values of $a$ and $b.$

maximum Nov 11, 2023

0

121

0

+818

help with roots

Let $a$ and $b$ be the roots of the quadratic $2x^2 - 8x + 7 = -3x^2 + 5x + 11.$ Compute $a^3/b^2 + b^3/a^2.$

maximum Nov 11, 2023

0

98

0

+818

system

Let c be a real number, and consider the system of quadratic equations
y = 6x^2 - 9x + c - 3x^2 + 17x
y = 5x^2 - 3x - 2x^2 + 10x - 18

For which values of c does this system have:
(a) Exactly one real read more ..

maximum Nov 11, 2023

0

121

0

+818

quadratic equation

Let $a$ and $b$ be the roots of the quadratic $x^2 - 5x + 3 = 4x^2 - 8x + 23$ Find the quadratic whose roots are $a^2$ and $b^2.$

maximum Nov 11, 2023

0

93

1

+818

help algebra

Let a and b be the solutions to 7x^2 + x - 5 = 2x^2 - 3x + 1. Compute (a - 4) + (b - 4).

maximum Nov 11, 2023

0

91

0

+818

need help

Let $u$ and $v$ be the solutions to $3x^2 + 5x + 7 = x^2 - 6x + 8$ Find $1/u + 1/v$.

maximum Nov 11, 2023

0

107

0

+818

Solve

Let a and b be the solutions to 5x^2 - 11x + 4 = 2x^2 - 7x + 9 + 7x^2 - 14x - 11. Find 1/a + 1/b.

maximum Nov 11, 2023

0

108

0

+818

expand

Expand (a + 2)(3a^2 - 2a - 12)(a^2 - 2a + 1).

maximum Nov 11, 2023

0

102

1

+818

quadratic

Fill in the blanks to make a quadratic whose roots are $1$ and $-1.$
x^2 + ___ x + ___

maximum Nov 11, 2023

0

125

0

+818

help algebra

Find the largest value of $x$ such that $3x^2 + 17x + 15 = 2x^2 + 21x + 12 - 5x^2 + 17x + 34.$

maximum Nov 11, 2023

0

85

0

+818

help counting

In the array below, in how many different ways can we start with the letter A and move from letter to letter (horizontally, vertically, or diagonally), to spell the word "ARCH"?
A
RRR
CCCCC read more ..

maximum Nov 11, 2023

-1

78

1

+1808

Help with complex numbers

Fill in the blanks with real numbers.
(11 - 7i) + (2 + i) = ___ + ___ i

blackpanther Nov 11, 2023

-1

91

2

+1808

Help with complex numbers

Fill in the blanks with real numbers.
(11 - 7i)*(2 + i) = ___ + ___ i

blackpanther Nov 11, 2023

-1

102

0

+1808

Algebra

Select a sign ($+$ or $-$) and fill in the blank with a constant, so that the resulting expression can be factored as the product of two linear factors.
2mn - 21m + 5n - mn + 14m + 6n + ___

blackpanther Nov 11, 2023

-1

76

0

+1808

help with complex

Fill in the blanks with real numbers
(sqrt(3) + i)*6i = ___ + ___i

blackpanther Nov 11, 2023

-1

1

55

1

+1808

integer solutions

Find the number of ordered pairs $(a,b)$ of integers such that
\frac{a + 2}{a + 1} = \frac{b}{8}.

blackpanther Nov 11, 2023

-1

118

0

+1808

help plz

Describe all solutions to zw -3w - 2iw + 4iz = - 8 + 12i where z and w are complex numbers.

blackpanther Nov 11, 2023

0

85

0

+1808

complex numbers

We can represent complex numbers geometrically by plotting them on the "complex plane", just like we plot points on the Cartesian plane. The real part of the complex number is the horizontal coordinate and the imaginary part is the vertical coordinate. read more ..

blackpanther Nov 11, 2023

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