1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
I am Lyosha [343]
3 years ago
8

when 6 is subtracted from the square of a number, the result is 5 times the number. Find the negative solution.

Mathematics
1 answer:
sveta [45]3 years ago
6 0

When 6 is subtracted from the square of a number, the result is 5 times the number, then the negative solution is -1

<h3><u>Solution:</u></h3>

Given that when 6 is subtracted from the square of a number, the result is 5 times the number

To find: negative solution

Let "a" be the unknown number

Let us analyse the given sentence

square of a number = a^2

6 is subtracted from the square of a number = a^2 - 6

5 times the number = 5 \times a

<em><u>So we can frame a equation as:</u></em>

6 is subtracted from the square of a number = 5 times the number

a^2 - 6 = 5 \times a\\\\a^2 -6 -5a = 0\\\\a^2 -5a -6 = 0

<em><u>Let us solve the above quadratic equation</u></em>

For a quadratic equation ax^2 + bx + c = 0 where a \neq 0

x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}

Here in this problem,

a^2-5 a-6=0 \text { we have } a=1 \text { and } b=-5 \text { and } c=-6

Substituting the values in above quadratic formula, we get

\begin{array}{l}{a=\frac{-(-5) \pm \sqrt{(-5)^{2}-4(1)(-6)}}{2 \times 1}} \\\\ {a=\frac{5 \pm \sqrt{25+16}}{2}=\frac{5 \pm \sqrt{49}}{2}} \\\\ {a=\frac{5 \pm 7}{2}}\end{array}

We have two solutions for "a"

\begin{array}{l}{a=\frac{5+7}{2} \text { and } a=\frac{5-7}{2}} \\\\ {a=\frac{12}{2} \text { and } a=\frac{-2}{2}}\end{array}

<h3>a = 6 or a = -1</h3>

We have asked negative solution. So a = -1

Thus the negative solution is -1

You might be interested in
How many solutions does 8x + 7 = 8x + 7 have
Lesechka [4]

Answer:

infinetly many solutions

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Which of the following is a polynomial?
Artyom0805 [142]

Answer:

C

Step-by-step explanation:

8 0
3 years ago
Write and solve a real world word problem to fit the expression -50 ÷ 5.
MissTica

Answer: THe person who rented a apartment had been in debt for 50 dollars, but she didnt have a lot of money so the land lord would divide the rent by 5

Step-by-step explanation:

6 0
2 years ago
Simplify
blagie [28]
-6-7(c+10)
-6-7c-70
-76-7c
B
8 0
2 years ago
You are helping your dad build a rectangular dog park. The length of the dog park in feet can be represented by 8 + 2 and the wi
Goryan [66]

Answer:

74 feet and 6 feet

Step-by-step explanation:

Mentioned that

The  Length of the dog park is = (8x + 2)............(i)

And,

The Width of the park is = (2x -12)..................(ii)

Perimeter = 160 feet

Now here we use the perimeter formula which is

Perimeter is

= 2 (length + width)

160 = 2 (8x + 2 + 2x - 12)

160 = 2 (10x - 10)

160 = 20x - 20

180 = 20x

x = 9

Now put the x value into the equation 1 and equaton 2

For the equaton 1, the length us

= 8x + 2

= 8(9) + 2

= 74 feet

And, the width is

= 2x - 12

= 2(9) - 12

= 18 - 12

= 6 feet

5 0
3 years ago
Other questions:
  • A study concludes that 15 percent of all college students attend a gym class.
    7·2 answers
  • Please help!!! urgent
    5·1 answer
  • 624,836+282,189 what is the <br> estimate
    6·1 answer
  • I need help please! need answers quickly!!
    12·2 answers
  • An x-method chart shows the product a c at the top of x and b at the bottom of x. Above the chart is the expression a x squared
    16·2 answers
  • If there are 12 circles and 3 are shaded, what percent of the circles are shaded?
    5·2 answers
  • HELP PLEASE!!! I need help with 94 if you could show the steps that would be very helpful!
    12·1 answer
  • Can you do numbers 2 and 4 please?
    6·2 answers
  • Every week hector works 20 hours and earns $210.00 he earns a constant amount of money per hour white a equation that can be use
    6·1 answer
  • 14.62 rounded to the nearest number
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!