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
Readme [11.4K]
4 years ago
9

Solve the equation by factoring 2x^2+x-6=0

Mathematics
2 answers:
Jlenok [28]4 years ago
3 0

Answer:

Step-by-step explanation:

Use the quadratic formula

=

−

±

2

−

4

√

2

x

=

−

b

±

b

2

−

4

a

c

2

a

x=2a−b±b2−4ac​​

Once in standard form, identify a, b, and c from the original equation and plug them into the quadratic formula.

2

2

+

−

6

=

0

2

x

2

+

x

−

6

=

0

2x2+x−6=0

=

2

a

=

2

a=2

=

1

b

=

1

b=1

=

−

6

c

=

−

6

c=−6

=

−

1

±

1

2

−

4

⋅

2

(

−

6

)

√

2

⋅

2

x

=

−

1

±

1

2

−

4

⋅

2

(

−

6

)

2

⋅

2

x=2⋅2−1±12−4⋅2(−6)​​

Rzqust [24]4 years ago
3 0

Answer:

x = - 2, x = \frac{3}{2}

Step-by-step explanation:

Given

2x² + x - 6 = 0

Consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x- term.

product = 2 × - 6 = - 12 and sum = + 1

The factors are + 4 and - 3

Use these factors to split the x- term

2x² + 4x - 3x - 6 = 0 ( factor the firs/second and third/fourth terms )

2x(x + 2) - 3(x + 2) = 0 ← factor out (x + 2) from each term

(x + 2)(2x - 3) = 0

Equate each factor to zero and solve for x

x + 2 = 0 ⇒ x = - 2

2x - 3 = 0 ⇒ 2x = 3 ⇒ x = \frac{3}{2}

You might be interested in
if BA is extended all the way through A creating BF and A becomes the midpoint of BF, then what are the coordinates of F
gogolik [260]

Answer:

F(2x_A-x_B,2y_A-y_B)

Step-by-step explanation:

Let points A, B and F have coordinates A(x_A,y_A),  B(x_B,y_B) and F(x_F,y_F).

If BA is extended all the way through A creating BF and A becomes the midpoint of BF, then the midpoint A of the segment BF has coordinates:

\dfrac{x_B+x_F}{2}=x_A\\ \\\dfrac{y_B+y_F}{2}=y_A

Express coordinates of point F:

x_B+x_F=2x_A\Rightarrow x_F=2x_A-x_B\\ \\y_B+y_F=2y_A\Rightarrow y_F=2y_A-y_B

Hence,

F(2x_A-x_B,2y_A-y_B)

3 0
3 years ago
the shopkeeper sold a camera for 2570 and made a loss of rs180 at what price did he/she purchasr the camera​
Lisa [10]

purchase they sold it for: $2570

loss= $180

They purchased it for= loss + selling cost

=2570+180

=$2750

7 0
3 years ago
A survey was done that asked students to indicate whether or not they have ever prepared a meal for their family.
KiRa [710]

Answer:

OK I am 85% sure on this for the 13 year old its ( 23 to 112 )

and for the older kids ( 147 to 48 ) or (23:112) (147:48)

hope it helps if it doesn't sorry.

Step-by-step explanation:

4 0
3 years ago
+
lesya692 [45]
The student would earn %86. To calculate percentage you take the amount of questions correct, divide that by the amount of questions given, multiply by 100 and round to the nearest percent.
3 0
3 years ago
Evaluate the function f(x) = -4x + 2, when x = -1.
Mkey [24]

Answer:

Option D

Step-by-step explanation:

f(x) = -4x + 2

f(-1) = -4(-1) + 2 = 4 + 2 = 6

3 0
3 years ago
Other questions:
  • Picture is shown !!!!
    10·2 answers
  • If x = 5, find the value of<br> a) x2<br> b) (x + 3)2
    11·1 answer
  • Show your work I need this asap
    11·2 answers
  • What are the solutions of x2 +6x-6 = 10?
    6·1 answer
  • PLEASE HELP!!! 80 PTS!! i'm confused
    12·2 answers
  • The quadratic function h(t) = -t2 + 5t + 6 models a paper ball being thrown into a trash can. How many seconds does it take for
    8·1 answer
  • Compare the values of the underline digits 34258 and 47163
    12·1 answer
  • :(<br><br><br><br> help.... :( please :(
    10·1 answer
  • Plz use the graph help asap show work
    9·1 answer
  • What is the change in elevation between 8,500m and -300m
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!