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
Afina-wow [57]
3 years ago
10

Solve the quadratic equation for x. What is the product when the roots are multiplied? (x + 2)2 = 1

Mathematics
2 answers:
tekilochka [14]3 years ago
4 0

Regroup terms

2(x + 2) = 1

Divided both sides by 2

x + 2 = 1/2

Subtract 2 from both sides

x = 1/2 - 2

Simplify 1/2 - 2 to -3/2

<u>x = -3/2</u>

sveticcg [70]3 years ago
4 0

Answer:

x = -2 or 0; Product of roots = 0.  

Step-by-step explanation:

Product of roots:

        (x + 1)² = 1

x² + 2x + 1    = 1

x²  +2x         = 0

The standard form of a quadratic is a² + bx + c = 0.

In your equation, a = 1; b = 2; c = 0

Even without solving the equation, we know that the product of the roots is zero, because

Product of roots = c/a =0/1 = 0

Solution:

Factor the quadratic                x(x +2) = 0

Use zero product property     x = 0     x + 2 =  0

                                                              x       = -2

The roots are x = 0 and x = -2.

You might be interested in
Equivalent fractions to 28/32
Scrat [10]
7/8 there you go the right answer xD
7 0
3 years ago
Read 2 more answers
A triangle has sides with lengths of 7 feet, 15 feet, and 17 feet. is it a right triangle?
aksik [14]
To test if this is a right triangle, let's test these side lengths with the Pythagorean Theorem.

a^2 + b^2 = c^2

c is the hypotenuse, the longest side of a right triangle.
a and b are the legs of the right triangle.

a = 7
b = 15
c = 17

7^2 + 15^2 = 17^2 ?

49 + 225 = 289 ?

274 ≠ 289

Thus, this triangle is not a right triangle since it does not satisfy the Pythagorean Theorem.

Have an awesome day! :)
8 0
3 years ago
How many roots does this has?<br>x^2+(2√5x)+2x=-10​<br>find Discriminant
Alexxandr [17]

Given:

The equation is

x^2+(2\sqrt{5})+2x=-10

To find:

The number of roots and discriminant of the given equation.

Solution:

We have,

x^2+(2\sqrt{5})x+2x=-10

The highest degree of given equation is 2. So, the number of roots is also 2.

It can be written as

x^2+(2\sqrt{5}+2)x+10=0

Here, a=1, b=(2\sqrt{5}+2), c=10.

Discriminant of the given equation is

D=b^2-4ac

D=(2\sqrt{5}+2)^2-4(1)(10)

D=20+8\sqrt{5}+4-40

D=8\sqrt{5}-16

D\approx 1.89>0

Since discriminant is 8\sqrt{5}-16\approx 1.89, which is greater than 0, therefore, the given equation has two distinct real roots.

3 0
3 years ago
Express the following as a fraction in its simplest form.
pychu [463]

Given:

Consider the given expression is:

\dfrac{h+f}{3}+\dfrac{f+k}{2}+\dfrac{4h-k}{5}

To find:

The simplified form of the given expression.

Solution:

We have,

\dfrac{h+f}{3}+\dfrac{f+k}{2}+\dfrac{4h-k}{5}

Taking LCM, we get

=\dfrac{10(h+f)+15(f+k)+6(4h-k)}{30}

=\dfrac{10h+10f+15f+15k+24h-6k}{30}

=\dfrac{34h+25f+9k}{30}

Therefore, the required simplified fraction for the given expression is \dfrac{34h+25f+9k}{30}.

6 0
3 years ago
Find the values of a and b so that the solution of the linear system is (-9,1).
Diano4ka-milaya [45]

Answer:

Step-by-step explanation:

we can write -9 instead of x and y=1 instead of 1

so we write solution again

-9a+1b=-31

-9a-1b=-41

-18a=-72

a=4

we should write 4 instead of a

-9(4)+1b=-31

-36+b=-31

b=5

a=4

6 0
2 years ago
Other questions:
  • Use this table to construct the function that it represents.
    10·1 answer
  • What are the multiples of 7 up to 35
    6·1 answer
  • Determine whether or not the function r(x) =x^2-2 is one -to-one
    9·1 answer
  • Classify the following triangles. Check all that apply.
    9·1 answer
  • Right angled triangle calculation.  the opposite is 150mm  and the only known angle is the right angle how can i calculate the o
    11·1 answer
  • How do you do number twenty four in the picture?
    10·1 answer
  • What's the radius of a circle with area 9π units2?
    6·1 answer
  • What is the area of the parallelogram?
    10·1 answer
  • Which of the following best describes the graph below?
    13·1 answer
  • Write an expression for the sequence of operations described below.
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!