Which of the following equations results in no solutions?

Mathematics

1 answer:

agasfer [191]2 years ago

4 0

Answer choice B would result in no solution

Hope this helps ;)

You might be interested in

Is the square root of negative 5 a rational irrational or imaginary

Travka [436]

I believe it is an imaginary number because imaginary numbers are square roots of negative numbers.

6 0

2 years ago

Read 2 more answers

How do u get really smart

Kay [80]

Haha, there isn't a thing that makes you 'really smart'.

However, you can grow and improve your knowledge.

The more challenging material you expose yourself to, while putting in the effort to solve them, there's no doubt you'll definitely improve!

+ you can try exercising your brain every now and then by playing trivia games or reading books- do whatever interests you and helps you learn!

6 0

3 years ago

Read 2 more answers

The width of a rectangle is 6 kilometers less than twice its length. if its area is 108 square kilometers, find the dimensions

Art [367]

Hi there!

Answer:
length = 9 kilometres
Width = 12 kilometres

Let's solve this problem step by step!
To find our answer we need to set up and solve an equation.

Let the length of the rectangle be represented by x.
The width of the rectangle can therefore be expressed by 2x - 6.

The area of a rectangle can be found by using the formula:
A = width × length

Plug in the data from the formula
A = x (2x - 6).

Simplify using rainbow technique.
$x(2x - 6) = 2 {x}^{2} - 6x$

Now we've found the simplified expression that expresses the area of the rectangle. Therefore, we can now set up and start solve the equation.

$2 {x}^{2} - 6x = 108$
Subtract 108

$2 {x}^{2} - 6x - 108 = 0$
Divide by 2.

${x}^{2} - 3x - 54$
$(x - 9)(x + 6) = 0$
Rule AB = 0, gives A is 0 or B is 0.

$x - 9 = 0 \\ x = 9 \\ \\ x + 6 = 0 \\ x = - 6$

The length of the rectangle, which was represented by x, must be 9 (since it cannot be a negative number).

Length
$x = 9$
Width
$2x - 6 = 2 \times 9- 6 = 18 - 6 = 12$

Answer:
length = 9 kilometres
Width = 12 kilometres

~ Hope this helps you!

6 0

2 years ago

A window in the shape of a rectangle as shown below has a width of x+5 and a length of x^2- 3x+7 express the area of the rectang

Ksju [112]

Answer:

$x^3+x^2-5x+28$