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ycow [4]
3 years ago
13

The square of a number is 6 more than 5 times the number. What is the number?

Mathematics
1 answer:
Leona [35]3 years ago
8 0
X^2 = 6+5x => x^2 - 5x - 6 = 0 => (x-6)(x+1)=0

This riddle has two solutions:

x=6 or x=-1

indeed 6*6 = 36 = 5*6+6
indeed -1*-1 = 1 = 5*-1 + 6

The -1 is kind of a surprise, isn't it?
You might be interested in
What % of 3 1/3 is 6 1/4? I'm stuck...
BigorU [14]
You can manipulate the number to make them easier to handle

3 and 1/3 times 12=36+4=40
6 and 1/4 times 12=72+3=75
so is 40=100% then wha is 75
40 and 75
divide by 2
20 and 37.5
multiply by 5
100 and 187.5
100=100% and 187.5=187.5%
187.5-100=87.5%

87.5% increase
6 0
3 years ago
What is the length of EF?
ANEK [815]
The slope is 5/4.

5²+4²=41
√41=6.4
EF=6.4 units.
3 0
3 years ago
Read 2 more answers
What is the center and radius of the circle with equation x2 + y2 - 4x + 22y + 61 = 0?
lesantik [10]
Hello,

x^2+y^2-4x+22y+61=0\\\\
(x^2-4x+4) +(y^2+22y+121)-121-4+61=0\\\\
(x-2)^2+(y+11)^2=64




Center is (2,-11) and radius is 8
6 0
4 years ago
I’m having a lot of trouble, can someone guide me, step by step?
shutvik [7]

Answer:

Hi hopefully this helps you!

Step-by-step explanation:

To find the area of a circle you can use the formula A = πr^2

The radius of a circle is just the diameter divided by 2. In this case we know the diameter is 3, so the radius is 1.5

A = π(1.5)^2

   = 7.07

Because this is a semicircle, divide this area by 2

   = 3.53429 in^2

Add up the area of this semi circle with the area of the rectangle

A = (3.53429) + (3x4)

   = 15.53429 in^2

To find the circumference/ perimeter of a circle use this formula C = 2πR

C = 2π(1.5)

   = 9.42478 inches

Again because this is a semicircle, divide by 2

   = 9.42478 / 2

   = 4.71239 inches

To find the perimeter of this entire shape add up the circumference of the semicircle and the rectangle's sides and bottom

P = 4.71239 + 4 + 4 + 3

  = 15.71239 inches

So the final answer would be

A = 15.53 squared inches

P = 15.71 inches

Hope this helps! Best of luck in your studies <3

6 0
3 years ago
What does the magnitude of a vector represent?
nalin [4]

Answer:

A vector's magnitude represents its length, so your answer is C, the length of a vector.

Step-by-step explanation:

7 0
3 years ago
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