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
Stella [2.4K]
2 years ago
13

140 subtracted from the square of a number the result is three times the number find the negative solution

Mathematics
1 answer:
natima [27]2 years ago
5 0

Answer:

Suppose~that~the~number~is~x.\\According~to~question,\\x^2-140=3x\\or, x^2-3x-140=0\\From~the~quadratic~formula,\\x = \frac{-(-3)+\sqrt{(-3)^2-4(1)(-140)} }{2(1)} ~and ~x= \frac{-(-3)-\sqrt{(-3)^2-4(1)(-140)} }{2(1)} \\or, x = \frac{3+\sqrt{9+560} }{2}~and~x=\frac{3-\sqrt{9+569} }{2}\\or, x = \frac{3+\sqrt{569} }{2}~and~x=\frac{3-\sqrt{569} }{2}\\So,~the~required~negative~number~is~\frac{3-\sqrt{569} }{2}.

You might be interested in
The measure of angle A to the nearest tenth of a degree is: A 18.5 B 19.5 C 20.5
Andrew [12]

Answer:

B


Step-by-step explanation:

<u>This is a right triangle as shown by the right angle.</u>

  • The side opposite the right angle is the hypotenuse, which is 9.
  • The side opposite angle A is 3.

So we have the opposite of A and the hypotenuse.

The trigonometric ratio that relates opposite side to hypotenuse is SINE.

sin\theta=\frac{opposite}{hypotenuse}

Since, we need angle A, \theta is A, opposite side is 3, and hypotenuse is 9, we substitute:

sinA=\frac{3}{9}\\sinA=\frac{1}{3}

<em>To solve for the angle, we use our calculator and find the inverse sin of \frac{1}{3} :</em>

A=sin^{-1}(\frac{1}{3})\\A=19.47

<em>Rounding to nearest tenth of a degree:</em>

A=19.5

B is the right choice.

6 0
3 years ago
One more question 50 points
balu736 [363]

Answer:

5 complete scarves

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
A helicopter hovers at 1000 feet in the air
Westkost [7]

Answer:

That’s a good helicopter

Step-by-step explanation:

6 0
2 years ago
88 cubic feet per year express pint per day?
beks73 [17]

Answer:

14.4282 or 14.4 rounded

Step-by-step explanation:

6 0
3 years ago
Identify the property being illustrated:<br><br> (12 + 5) + 21 = 12 + (5 + 21
ad-work [718]
Associative property
8 0
3 years ago
Other questions:
  • Multiply<br><br>4yz(3/2y^2z^3)
    5·1 answer
  • Christopher swam laps everyday in the town swimming pool. He swam 45 minutes each day, 5 days each week, for 12 weeks.
    11·1 answer
  • 3/4 -0.8 7/10 -3/4 from least to greatest
    7·2 answers
  • Find the greatest common factor: 3x^4 -15x^8
    7·1 answer
  • What is the price paid for a 60% pair of jeans after a 35% discount
    14·2 answers
  • How do you combine like terms with a already answered questions
    9·1 answer
  • I help me help me help me help me help help help help help me help me help me help me
    11·2 answers
  • Swimming Pool On a certain hot summer's day, 236 people used the public swimming pool. The daily prices are $1.50 for children a
    6·1 answer
  • Find the solutions of the quadratic equation <img src="https://tex.z-dn.net/?f=-x%5E2%2B7x-14%3D0" id="TexFormula1" title="-x^2+
    7·1 answer
  • How would you write 845 as a multiplication expressions
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!