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
alina1380 [7]
3 years ago
13

align="absmiddle" class="latex-formula">

completing the square
Mathematics
1 answer:
Brrunno [24]3 years ago
8 0

Answer:

<h3>x = 3/2 ± √(61/20)</h3>

Step-by-step explanation:

5x² - 15x - 4 = 0

Add 4 to both sides.

5x² - 15x = 4

The coefficient of 5x² is 5, divide both sides by 5.

x² - 3x = 4/5

The coefficient of -3x is -3. Let b=-3.

Then we need to add (b/2)^2=9/4 to both sides to complete the square.

Add 9/4 to both sides.

x² - 3x + 9/4 = 61/20

Factor left side.

(x-3/2)² = 61/20

Take square root of both sides.

x-3/2 = ± √(61/20)

Add 3/2 to both sides.

x = 3/2 ± √(61/20)

You might be interested in
Solve by Elimination
Leona [35]
1) (3,4), 2) (1,9), 3) (4,4)
3 0
3 years ago
Read 2 more answers
What’s the slope of the line graphed below?
AveGali [126]

Answer:

1/2

Step-by-step explanation:

Pick two points

(0,1) and (2,2)

The slope is

m = (y2-y1)/ (x2-x1)

    = (2-1)/(2-0)

    = 1/2

4 0
3 years ago
I’m so confused can somebody help me
Setler [38]

Answer:

25

Step-by-step explanation:

"y varies inversely with x" means:

y = k / x

where k is a constant.

When x = 5, y = 10.

10 = k / 5

k = 50

y = 50 / x

When x = 2:

y = 50 / 2

y = 25

6 0
3 years ago
Two lines intersect (see image below)
klemol [59]

Answer:

c-24

a-156

Step-by-step explanation:

a=180-24( angles on s straight line)=156

c= 24 opposite angles

3 0
3 years ago
List the constant(s) in 2ab + 8 + c - 10
natali 33 [55]

Answer:

Constants: 8 and 10

Step-by-step explanation:

4 0
2 years ago
Other questions:
  • Find the LCD of Number 21 and 23.
    14·2 answers
  • What 2:3 what is the smallest angle
    14·2 answers
  • Round the number to the place value of the BIG number. 68,974,512 and 8 is the big number?
    11·1 answer
  • How to do this and steps?
    9·1 answer
  • Evaluate all numerical expressions with exponents
    12·1 answer
  • Which expression is equivalent to log^2 9x^3"?
    5·1 answer
  • The sum of two numbers is 24.The difference of their square is 144.what are the two numbers?​
    9·1 answer
  • A cylindrical potato chip container has a diameter of 3.5 inches and a height of 12 inches. What is the volume of the chip conta
    14·1 answer
  • write the equation of the line parallel to y=6/5x+7/5 that passes through the point (-5,1). Type an equation using slope-interce
    12·1 answer
  • O. A store pays $10 for a blanket. The<br> mark up is 40%. What do they sell it for?
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!