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
Paha777 [63]
2 years ago
7

Solve for x {x+4]= 6

Mathematics
2 answers:
elena-14-01-66 [18.8K]2 years ago
7 0

Answer:

Step-by-step explanation:

Always do opposite. E.g, opposite of square is square root.

x(x + 4) = 6

expand brackets

x^2 + 4 = 6

minus 4 from both sides

x^2 = 6 - 4

square root everything

x = \sqrt{6-4}

wlad13 [49]2 years ago
6 0

The solution to the equation x(x+4) = 6 is x = -2 + √10 or x = -2 - √10 after solving with the quadratic formula.

<h3>What is a quadratic equation?</h3>

Any equation of the form \rm ax^2+bx+c=0 where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.

As we know, the formula for the roots of the quadratic equation is given by:

\rm x = \dfrac{-b \pm\sqrt{b^2-4ac}}{2a}

We have an equation:

x(x + 4) = 6

By distributive property:

x² + 4x = 6

x² + 4x - 6 = 0

a = 1, b = 4, c = -6

Plugging all the values in the formula:

\rm x = \dfrac{-4 \pm\sqrt{4^2-4(1)(-6)}}{2(1)}

After calculating:

\rm x = \dfrac{-4 \pm\sqrt{40}}{2}

\rm x=-2+\sqrt{10},\ \ \ or \ \ \ x=-2-\sqrt{10}

Thus, the solution to the equation x(x+4) = 6 is x = -2 + √10 or x = -2 - √10 after solving with the quadratic formula.

Learn more about quadratic equations here:

brainly.com/question/2263981

#SPJ1

You might be interested in
The International Air Transport Association surveys business travelers to develop quality ratings for transatlantic gateway airp
beks73 [17]

Answer:

(5.4582 ; 6.8618)

Step-by-step explanation:

Given the data:

6 10 2 6 3 3 3 6 6 6 6 5 8 9 10 10 7 9 3 6 5 10 9 9 10 3 8 6 6 3 3 6 6 5 4 10 9 3 5 7 10 6 3 8 6 8 3 3 5 5

Sample mean, xbar = Σx / n

n = sample size = 50

ΣX = 308

xbar = 308 / 50 = 6.16

Using a Calculator :

The sample standard deviation, s = 2.469

Confidence interval = xbar ± margin of error

Margin of Error = Tcritical * s/sqrt(n)

Tcritical at 95% ; df = 50 - 1 = 49

Tcritical = 2.010

Hence,

Margin of Error= 2.010 * (2.469/sqrt(50)) = 0.7018

Lower boundary : (6.16 - 0.7018) = 5.4582

Upper boundary : (6.16 + 0.7018) = 6.8618

(5.4582 ; 6.8618)

4 0
3 years ago
Ruben bought a DVD recorder for 240 $. Now, it is on sale for 180 $. Find the percentage of change in the price
xenn [34]

Answer:

Step-by-step explanation:

orginal :$240

new/sale: $180

Percentage of Change:

(V2−V1)|V1|×100

=(180−240)|240|×100

=−60240×100

=−0.25×100

=−25%change

=25%decrease

3 0
3 years ago
Marco wants to buy a new smartphone that costs $495, with some additional accessories. He has already saved $75. Write and solve
Eddi Din [679]
He needs 420 to buy a new smartphone and accessories.

75-495= 420
420+75= 495
4 0
3 years ago
A trampoline has an area of 49 times pie square feet. what is the diameter of the trampoline?
zimovet [89]

153.0957135885=49*pie


3 0
3 years ago
Subtract 8-4 1/2. A. 3 B. 4 C. 4 1/2 D. 3 1/2
Leokris [45]
1.
An expression of the form a \frac{b}{c} is called a "compound fraction"
 
Compound fractions can be written as simple fractions by multiplying c to a, and then adding the product to c as follows:

a \frac{b}{c}= \frac{c.a+b}{c}

for example, 

4\frac{1}{2} can be written as: 

4\frac{1}{2}= \frac{2.4+1}{2}=\frac{9}{2}

2.

when we subtract or add a fraction \frac{m}{n} from an integer k, 

we first write k as a fraction with denominator n. We can do this as follows:

k=k. \frac{n}{n}= \frac{kn}{n}

for example, if we want to subtract \frac{9}{2} from 8, 

we first write 8 as a fraction with denominator 2:

8=8. \frac{2}{2}= \frac{8.2}{2}= \frac{16}{2}

3.

Thus, 

8-4 \frac{1}{2}= \frac{16}{2}- \frac{9}{2}= \frac{16-9}{2}= \frac{7}{2}

4.

The simple fraction 7/2 is not an option, so we write it as a compound fraction as follows:

\frac{7}{2}= \frac{6+1}{2}= \frac{6}{2}+ \frac{1}{2}=3+ \frac{1}{2}=3\frac{1}{2}

(So write 7 as the sum of the largest multiple of 2, smaller than 7 + what is left. In our case these numbers are 6 and 1, then proceed as shown)

5. Answer: D
3 0
3 years ago
Read 2 more answers
Other questions:
  • Write the equation in slope-intercept form. what are the slope and y-intercept -11x 9y=-12
    9·1 answer
  • In the figure shown, line AB is parallel to line CD. Part A what is the measure of angle x. Part b explain how you found the mea
    14·1 answer
  • Draw and shade a figure that represents 100%
    8·2 answers
  • Im stuck help me pls thank you
    5·1 answer
  • WHAT DO I DO WHEN I FAILED A ALGEBRA TEST
    11·2 answers
  • Write an equation that represents a parallel line to y=1/2x + 4
    8·2 answers
  • AYUDA URGENTE! Un cultivador siembra 3/7 de su granja con maiz, y con 2/5 soya ¿en total que fraccion de la granja sembro? ¿Que
    9·1 answer
  • Brainliest goes to whoever answers correctly plzz help
    13·1 answer
  • Write the equation of the blue line using slope intercept form (y=mx+b)
    10·1 answer
  • Heather and Sarah are on the ground taking pictures of Anna who is on the ferris wheel 400ft above the ground. If Heather and Sa
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!