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
Andrews [41]
3 years ago
10

Which is the correct way to solve the given equation

Mathematics
1 answer:
Karolina [17]3 years ago
7 0

Option 2. x = \frac{4 \pm \sqrt{(-4)^{2}-4 (1)(-21)}}{2 (1)} shows the correct way to use the quadratic formula to solve the given equation.

Step-by-step explanation:

Step 1:

For an equation of the form ax^{2} +bx+c=0 the solution is x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}.

Here a is the coefficient of x^{2}, b is the coefficient of x and c is the constant term.

x^{2} -4x=21 can also be written as x^{2} -4x-21=0.

Comparing x^{2} -4x-21=0 with ax^{2} +bx+c=0, we get that a is 1, b is -4 and c is -21.

To get the solution, we substitute the values of a, b, and c in x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}.

Step 2:

Substituting the values, we get

x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}= \frac{-(-4) \pm \sqrt{(-4)^{2}-4 (1)(-21)}}{2 (1)}.

\frac{-(-4) \pm \sqrt{(-4)^{2}-4 (1)(-21)}}{2 (1)} = \frac{4 \pm \sqrt{(-4)^{2}-4 (1)(-21)}}{2 (1)}.

This is option 2.

You might be interested in
F(x+1)+f(x+2)=2x+3; f(x)=?
Rama09 [41]

Answer:

F=\frac{-xf+f+2x}{x+1};\quad \:x\ne \:-1

Step-by-step explanation:

1. \mathrm{Subtract\:}f\left(x+2\right)\mathrm{\:from\:both\:sides}\\
F\left(x+1\right)+f\left(x+2\right)-f\left(x+2\right)=2x+3f-f\left(x+2\right)



2. \mathrm{Simplify}\\
F\left(x+1\right)=-xf+f+2x\\


3. \mathrm{Divide\:both\:sides\:by\:}x+1;\quad \:x\ne \:-1\\
\frac{F\left(x+1\right)}{x+1}=-\frac{xf}{x+1}+\frac{f}{x+1}+\frac{2x}{x+1};\quad \:x\ne \:-1

4. \mathrm{Simplify}\\
F=\frac{-xf+f+2x}{x+1};\quad \:x\ne \:-1

Final Answer: F=\frac{-xf+f+2x}{x+1};\quad \:x\ne \:-1

4 0
2 years ago
Find the area. The figure is not drawn to scale.
jeka94

Answer:

627,264 square inches

Step-by-step explanation:

multiply all the numbers together

5 0
3 years ago
In the equation y=x/8 what is the unit rate
Darina [25.2K]
The unit rate for 'y' is  1/8 per x .

The unit rate for 'x' is  8 per y .
8 0
3 years ago
I need help I forgot all about this and I would appreciate it!
miskamm [114]

Answer:

$3.75

Step-by-step explanation:

You only have to multiply 3 pounds by the $1.25 to get the cost.

5 0
2 years ago
Read 2 more answers
How many cubic feet in a 5 gallon bucket?
Rudiy27
5 gallons is 0.66 cubic feet, 0.5 cubic feet per container.
8 0
3 years ago
Read 2 more answers
Other questions:
  • Is 0.7 greater than less than or equal to 7/9 show your work !!
    8·1 answer
  • URGENT!! WILL GIVE BRAINLIEST IF CORRECT!!
    13·1 answer
  • for the past five months kaias gift shop had these profits or losses $120, $85, -$35 and 40$ what was her average profit or loss
    11·1 answer
  • Write the integral in one variable to find the volume of the solid obtained by rotating the first-quadrant region bounded by y =
    12·1 answer
  • create a two-way related to frequency table that displays the relative frequency of the man 30 and younger and older men older t
    8·2 answers
  • Solve for a. Show your work (ALL steps must be shown): -2(a-3)=12
    8·1 answer
  • It took Michael 279 hours to drive home because of traffic. His sister drove the same distance in 12 of Michael’s time. How long
    15·1 answer
  • Help me please I will really appreciate it
    8·1 answer
  • I need help. Find the value of each variable.
    15·2 answers
  • NEED HELP NOW !!!!!!! The ratio of teachers to students on a field trip to the art museum is supposed to be 1 : 5. Which group d
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!