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
Alika [10]
2 years ago
14

One of the two solutions to the equation $5x^2 - 11x - 36 = 0$ is $x = 4$. What is the other solution?

Mathematics
2 answers:
Firdavs [7]2 years ago
8 0

Following are the calculation to the given equation:

Given:

\to 5x^2 - 11x - 36 = 0

one solution:

x=4

To find:

other solution=?

Solution:

\to 5x^2 - 11x - 36 = 0\\\\\to 5x^2 - (20-9)x - 36 = 0\\\\\to 5x^2 - 20x+9x - 36 = 0\\\\\to 5x(x - 4)+9(x - 4) = 0\\\\\to (x - 4) (5x+9) = 0\\\\\to x - 4=0 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 5x+9 = 0\\\\\to x = 4 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 5x = -9\\\\\to x = 4 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ x = \frac{-9}{5}\\

Therefore, another solution is "-\frac{9}{5}".

Learn more:

brainly.com/question/3044722

Elodia [21]2 years ago
6 0

the other solution is\frac{-9}{5}

Answer:

Solution given:

5x^2 -11x-36=0

doing middle term factorization

we need to get 11 by subtracting product of 5 and 36.

5*36=180=2*2*3*3*5

we get 11 by subtracting 5*2*2-3*3=20-9

substituting value of 11 as (20-9)

now

5x^2 -(20-9)x-36=0open bracket

5x^2 -20x+9x-36=0

taking common from each two terms

5x(x-4)+9(x-4)=0

again taking common

(x-4)(5x+9)=0

either

x-4=0

x=4

or

5x+9=0

5x=-9

x=\frac{-9}{5}

Step-by-step explanation:

You might be interested in
A school choir has 80 students; 36 of them are in seventh grade. Also, 40 students in the choir are girls; 18 of them are in sev
Sati [7]
B. 29/40

40-18=22
22+36=58/80
58/2=29
80/2=40
7 0
3 years ago
Read 2 more answers
Does the square root of a rational number have to come out as a rational number?
AlekseyPX

Answer:

no it does not have to

Step-by-step explanation:

4 0
3 years ago
If I don't read carefully, I often make mistakes on my work.
velikii [3]

Answer:

compound sentence

Step-by-step explanation:

4 0
3 years ago
Is -27 meters deeper than -31 meters
kari74 [83]
No -31 would be deeper.
4 0
3 years ago
Read 2 more answers
Julia pays a flat rate of $106 for her cell phone and is charged $0.12 for every text she sends. Julia spends at least $142 on h
Dominik [7]

Answer:

a. A minimum of 300

Step-by-step explanation:

If her bill  is $142 then it is a sum of the flat rate plus the money she pays for all the smses she sent. As an equation, it can be expressed this way

106 + 0.12x = 142  where x  is the number of smses

0.12x = 36

x = 300 smses

So if we were told that she pays $142 per month, we'd know that she sends 300 smses. But we are told she pays AT LEAST $142 so there is a possibility that she sends even more than 300 smses

3 0
3 years ago
Other questions:
  • WILL GIVE BRAINLIEST!! A,B,C, or D
    14·2 answers
  • Henry has a 88 average after 7 assignments in his class. He would like
    7·1 answer
  • John has a rectangular-shaped field whose length is 62.5 yards and width is 45.3 yards. The area of the field is ________ square
    14·1 answer
  • Point slope question
    5·1 answer
  • What is the slope of the line passing through (0, -3) and (0, -2)
    14·2 answers
  • What is the answer to √5×√5×√2×√2
    15·2 answers
  • Which of the following is a trinomial with a constant term?
    14·1 answer
  • Answer this question please
    7·1 answer
  • The sum of 2/3m and 1/5
    12·1 answer
  • A survey of 11 students showed that 8 liked science, 7 liked mathematics, and 4 liked both. How many students just liked science
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!