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
melomori [17]
2 years ago
5

Solve each problem and show the work for each one.

Mathematics
1 answer:
Cerrena [4.2K]2 years ago
8 0

Answer:

Solve by factoring.

1. 2x^2+9x+26=-4x+5

2x²+9x+4x+26-5=0

2x²+13x+21=0

doing middle term factorization

2x²+7x+6x+21=0

x(2x+7)+3(2x+7)=0

<u>(</u><u>2</u><u>x</u><u>+</u><u>7</u><u>)</u><u>(</u><u>x</u><u>+</u><u>3</u><u>)</u><u>=</u><u>0</u>

<u>either</u>

<u>x</u><u>=</u><u>-</u><u>7</u><u>/</u><u>2</u>

<u>or</u>

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

2.

3x^2-6x-4=0

comparing above equation with ax²+bx+c=0

we get

a=3

b=-6

c=-4

By using quadratic equation

x=\frac{ - b±\sqrt{ {b}^{2} - 4ac } }{2a}

Substituting value

x=\frac{ 6±\sqrt{ {-6}^{2} - 4*3*-4 }}{2*-4}

x=\frac{ 6±\sqrt{ {84}}}{-8}

x=\frac{ 6±2\sqrt{ {21}}}{-8}

-8x=6±2√21

taking positive

-8x=6+2√21

x=\frac{6+2√21}{-8}

x=-\frac{3+√21}{4}

taking negative

-8x=6-2√21

x=\frac{6-2√21}{-8}

x=-\frac{3-√21}{4}

You might be interested in
Plz help I will mark you brainlist plz ​
amid [387]

Here is all the work and answers for these questions they are all correct i checked them all and ive done this assignmnet before

4 0
3 years ago
I need three dollars seventy-eight cents more to buy a pair of tennis shoes. The tennis shoes cost eight dollars less the one hu
aleksandrvk [35]

Answer:

$118.22

Step-by-step explanation:

Subtract $130.00-$8.00= $122.00

Then subtract $122.00- $3.78 = $118.22

7 0
3 years ago
Read 2 more answers
1. 9=8+3a-8
Bess [88]

Answer:

ID

Step-by-step explanation:

UHH

6 0
2 years ago
4 1/3 - 2 1/2 <br><br>please help<br><br>Explanation: <br>​
galben [10]

Answer:

1 \frac{5}{6}

Step-by-step explanation:

  • First convert this mix number into a improper number

13/3-5/2

  • Then find the LCM of the denominator

26/6-15/6

  • Now simplify

11/6

1 \frac{5}{6}

<em>Hope you got it </em>

<em>If you have any question just ask me</em>

<em>If you think this is the best answer please mark me as brainliest</em>

8 0
3 years ago
Read 2 more answers
Will use us 3/4 cup of olive oil to make three batches of salad dressing how much oil does will use for one batch of salad dress
ch4aika [34]
1/4 cup of olive oil for one batch of salad dressing.
8 0
3 years ago
Read 2 more answers
Other questions:
  • PLEASE HELP!!!!!!!!!
    13·1 answer
  • Simplify: -3 1/2(-12 1/4)
    8·1 answer
  • At a certain high school, 25 students play only stringed instruments, 15 students play only brass instruments, and 5 students pl
    6·1 answer
  • Simplifying algebraic expressions -5 (3n+6)
    15·1 answer
  • In a parallel circuit, the current flow through the inductor will be _____.
    13·1 answer
  • For 5th grade which equation provides the best estimate of the product of 1.7 and 3.2
    7·1 answer
  • 15+25=m-45 what is the solution?
    6·2 answers
  • What is the volume, in cubic centimeters, of a cube with an edge length of 15 centimeters?
    5·1 answer
  • Elizabeth drove two-fifths of a mile in 30 seconds. Which of the following shows
    12·1 answer
  • Help me please i need help im terable at math
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!