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
sukhopar [10]
3 years ago
12

The sum of the roots of the equation x 2 + x = 2 is:

Mathematics
2 answers:
Amanda [17]3 years ago
6 0

Answer:

The sum of the roots of the equation x^{2} + x = 2 is -1

Step-by-step explanation:

You have two options to find the sum of the roots,

  1. The first option is to use the Quadratic Formula to find the two roots:

x_{1,2} = \frac{-b\±\sqrt{b^{2}-4ac}}{2a}

x^{2} + x - 2= where:

a = 1

b = 1

c = -2

x_{1} = \frac{-1-\sqrt{1^{2}-4*1*-2}}{2*1} = -2

x_{2} = \frac{-1+\sqrt{1^{2}-4*1*-2}}{2*1} = 1

The sum of the roots is -2 + 1 = -1

    2. The second option is use the fact that a general quadratic equation is in the form of:

ax^{2}+bx+c=0

if you divided by a you get:

x^{2}+\frac{b}{a} x+\frac{c}{a} =0

and always the sum of roots will be given for this expression x_{1} + x_{2} = \frac{-b}{a}

Why this is true?

Because if we use the Quadratic Formula as follows:

x_{1} + x_{2} = \frac{-b+\sqrt{b^{2}-4ac}}{2*a} + \frac{-b-\sqrt{b^{2}-4ac}}{2a}

x_{1} + x_{2} = \frac{-2b+0}{2a}}

x_{1} + x_{2} = \frac{-b}{a}

In the case of this equation:

x_{1} + x_{2} = \frac{-1}{1} = -1

julsineya [31]3 years ago
4 0
Hello : 
x²+x - 2 =0
a=1   b=1   c = -2
<span>The sum of the roots is : S = -b/a 
</span>S = - 1/1 = -1 
You might be interested in
Carlos earns $11.80 per hour working after school. He needs at least $410 to buy a refurbished cell phone. Write and solve an in
mart [117]
Like 3 hours I think to make it 410
6 0
3 years ago
The fish population in a certain part of the ocean (in thousands of fish) as a function of the water's temperature (in degrees c
kvv77 [185]
The maximum number of fish is going to be p(9) = 200
3 0
3 years ago
Read 2 more answers
Which graph represents the linear equation y = 1?
hichkok12 [17]

Answer:

but there's no choices

3 0
3 years ago
Which type of programmer designs programs for applications executed on the internet
Artyom0805 [142]
Regardless of what anyone says, there really isn't an official name for us I guess "Web Developer" or "Web Designer."
6 0
3 years ago
What is the value of the expression |a + b| + |c| when a = –6, b = 2, and c = –11?
nika2105 [10]
|-6 + 2| + |-11| 

|4| + |-11|

= 15

Hope i helped! 
3 0
3 years ago
Read 2 more answers
Other questions:
  • A model ship is 28 in. by 65 in. Use the scale 1 in. : 1/2 ft to find the dimensions of the actual ship
    12·1 answer
  • What is the volume of a cube with a side length that measures 6 cm?
    14·1 answer
  • Help pls ;-;
    13·2 answers
  • A VW Bug is driving north on a straight two-lane road at a constant 38 mph and a Chevy Impala is driving south at 29 mph on the
    8·1 answer
  • the fastest elevators in the Burj Khalifa can travel 330 feet in just 10 seconds how far does the elevator travel in 11 seconds
    10·2 answers
  • Please answer the question........Thank you! :D
    7·2 answers
  • Dvd: $15; 35% markup​
    13·1 answer
  • Is negative square root of 1 a irrational number
    9·2 answers
  • Will someone please help me!!!??? NO LINKS!!! You need to solve a system of equations. You decide to use the elimination method.
    13·1 answer
  • WHOEVER ANSWERS FIRST GETS A BRAINLIEST AND 20 POINTS
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!