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
yan [13]
2 years ago
11

The product of the roots of the equation x2 + x=2 is: 0-2 01

Mathematics
1 answer:
gregori [183]2 years ago
5 0

Answer:

-2

Step-by-step explanation:

x^2 + x=2

Subtract 2 from each side

x^2 + x-2=2-2

x^2 + x-2=0

Factor

What 2 numbers multiply to -2 and add to 1

2*-1 = -2

2+-1 =1

(x-1)(x+2)=0

Using the zero product property

x-1 = 0  x+2 = 0

x=1        x = -2

Product of the roots

1*-2 = -2

You might be interested in
Plz help me with this math and also explain
jasenka [17]

Step-by-step explanation:

<h2>[1]</h2>

  • SI = $250
  • Rate (R) = 12\sf \dfrac{1}{2} %
  • Time (t) = 4 years

\longrightarrow \tt { SI = \dfrac{PRT}{100} } \\

\longrightarrow \tt { 250 = \dfrac{P \times 12\cfrac{1}{2} \times 4}{100} } \\

\longrightarrow \tt { 250 = \dfrac{P \times \cfrac{25}{2} \times 4}{100} } \\

\longrightarrow \tt { 250 = \dfrac{P \times 25 \times 2}{100} } \\

\longrightarrow \tt { 250 = \dfrac{P \times 50}{100} } \\

\longrightarrow \tt { 250 \times 100 = P \times 50} \\

\longrightarrow \tt { 25000 = P \times 50} \\

\longrightarrow \tt { \dfrac{25000}{50} = P } \\

\longrightarrow \underline{\boxed{ \green{ \tt { \$ \; 500 = P }}}} \\

Therefore principal is $500.

<h2>__________________</h2>

<h2>[2]</h2>

  • 2/7 of the balls are red.
  • 3/5 of the balls are blue.
  • Rest are yellow.
  • Number of yellow balls = 36

Let the total number of balls be x.

→ Red balls + Blue balls + Yellow balls = Total number of balls

\longrightarrow \tt{ \dfrac{2}{7}x + \dfrac{3}{5}x + 36 = x} \\

\longrightarrow \tt{ \dfrac{10x + 21x + 1260}{35} = x} \\

\longrightarrow \tt{ \dfrac{31x + 1260}{35} = x} \\

\longrightarrow \tt{ 31x + 1260= 35x} \\

\longrightarrow \tt{ 1260= 35x-31x} \\

\longrightarrow \tt{ 1260= 4x} \\

\longrightarrow \tt{ \dfrac{1260 }{4}= x} \\

\longrightarrow \underline{\boxed{  \tt { 315 = x }}} \\

Total number of balls is 315.

A/Q,

3/5 of the balls are blue.

\longrightarrow \tt{ Balls_{(Blue)} =\dfrac{3 }{5}x} \\

\longrightarrow \tt{ Balls_{(Blue)} =\dfrac{3 }{5}(315)} \\

\longrightarrow \tt{ Balls_{(Blue)} = 3(63)} \\

\longrightarrow \underline{\boxed{ \green {\tt { Balls_{(Blue)} = 189 }}}} \\

8 0
3 years ago
Which situation describes a car that can travel $40 miles per gallon of gasoline?
Salsk061 [2.6K]

Answer:

A car can travel 80 miles on 2 gallons of gasoline.

Step-by-step explanation:

8 0
3 years ago
Kayson is looking at two buildings, building A and building B, at an angle of elevation of 59°. Building A is 40 feet away, and
Snezhnost [94]

Answer:

last one Building B; it is around 33.29 feet taller than building A Step-by-step explanation:

4 0
2 years ago
The world’s largest wave was about 0.524 kilometer tall. How many meters tall is this?
fgiga [73]
The Answer is 524 meters
7 0
3 years ago
Read 2 more answers
In algebra how do i convert y-7=-2/3(x+1) into standard form and what would it be?
Art [367]

Answer:

C

Step-by-step explanation:

Where, if at all possible,

A

,

B

, and

C

are integers, and A is non-negative, and, A, B, and C have no common factors other than 1

8 0
3 years ago
Other questions:
  • What kind of angle is formed when the radius and a tangent intersect at the point of tangency?
    14·1 answer
  • A 2- liter bottle of water has a mass of 2 kilograms. How many grams is that?
    6·1 answer
  • 4<br> Solve for n.<br> 11(n − 1) + 35 = 3n<br> O n = -6<br><br> The answer is n=-3
    13·1 answer
  • Write the slope-intercept of the equation of the line through the given point with the given slope.
    10·2 answers
  • X
    8·1 answer
  • Calculate the monthly payment for a $14,790 auto loan over four years at 6.9% annual interest.
    13·2 answers
  • If a non zero number is divided by a zero then what is the notation to denote it​
    13·1 answer
  • Can u help me with these math problems
    15·1 answer
  • Find the measure of angle 6
    15·2 answers
  • Write the percent as a fraction in simplest form and as a decimal.<br> 36. 23.5%
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!