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
solniwko [45]
2 years ago
14

Find the solutions of the quadratic equation –9x2 + 49 = 0.

Mathematics
1 answer:
Luba_88 [7]2 years ago
3 0

Answer:

x = 7/3

Step-by-step explanation:

<u>Given equation:</u>

  • –9x² + 49 = 0

To determine the value of "x", we need to isolate the x-variable and it's coefficient on one side of the equation. This can be done by subtracting 49 to both sides of the equation.

  • ⇒ –9x² + 49 - 49 = 0 - 49
  • ⇒ –9x² = -49

We can see that the negative sign in on both sides of the equation. Remove it by dividing -1 to both sides of the equation.

  • ⇒ –9x² = -49
  • ⇒ -9x²/-1 = -49/-1
  • ⇒ 9x² = 49

Clearly, we can see that 9x² and 49 are perfect squares. Therefore,

  • ⇒ 9x² = 49
  • ⇒ (3x)² = (7)²

Take square root both sides of the equation:

  • ⇒ √(3x)² = √(7)²
  • ⇒ 3x = 7

To determine the value of "x", we need to isolate it "completely". This can be done by dividing 3 to both sides of the equation

  • ⇒ 3x/3 = 7/3
  • ⇒ x = 7/3

Therefore, the value of "x" must be 7/3.

You might be interested in
Find the equation of the line passing<br> through the points (4,2) and (6, 10).<br> y=[? ]x + [ ]
Pachacha [2.7K]
Y=4x-14 to find the slope you need to do
rise/run and to find b you need to see where the line crosses the y axis
4 0
2 years ago
(picture)⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀​
Brums [2.3K]

Answer:

196

Step-by-step explanation:

70% multiply by 4/5(80%) which is 56%

56% times 350

7 0
2 years ago
Point DD is located at (-2,-6)(−2,−6) on the coordinate plane. Point DD is reflected over the x-axis to create point D'D. Point
bearhunter [10]
Point D (-2,-6)>>(x,-y)>> Point D’(-2,6)
Point D’ (-2,6)>> (-x,y)>> Point D’’(2,6)
7 0
3 years ago
Read 2 more answers
Ms. B is making snickerdoodle cookies. Her recipe uses one and a half teaspoons of cinnamon to make two dozen cookies. If she ne
Korvikt [17]

Answer:

First we must learn to dissect a question.

<h3>Explanation:</h3>

Part 1

We can list our facts first:

  • Every 2 dozen cookies takes 1.5 teaspoons of cinnamon to make
  • She needs 13 dozen cookies

She needs 13 dozen cookies. So (13/2)x 1.5 teaspoons

6.5 \times 1.5 = 9.75 \: teaspoons

<h3>Part 2</h3>

She needs 9.75 teaspoons and 3 teaspoons make a tablespoon

So..

9.75 \div 3 = 3 r0.75= 3tbsp \: and \: 0.75tsp

7 0
2 years ago
Let f(x) ln(1+t^2)dt find f'(x) find the critical numbers of f g
OverLord2011 [107]
X1y hope it helps I'm just starting out
7 0
3 years ago
Other questions:
  • Bagaimana cara membuktikan bahwa persamaan garis tegak lurus itu benar
    14·1 answer
  • Point C is the center of the circle. If angle ACB measures (5x + 10)° and arc AB measures (x + 50)° , find x.
    10·1 answer
  • Why are the values for sine and cosine equal at 45°?
    11·2 answers
  • Hihhhhhhhhhhhhhjfjfhdhdhdddd
    14·2 answers
  • What is the length...plz help
    10·2 answers
  • PLEASE HELP ME I HAVE TWO MINUTES LEFT BE NICE
    6·1 answer
  • PLEASE HELP. are the values of the expressions 2m−13 and m+3 equal?
    11·2 answers
  • 4. Kay and Allen sell cell phones. Last month Kay sold 17 more cell phones than Allen. Together they both sold 117 cell phones.
    10·2 answers
  • What is the value of the expression 8 - 5(4 + 4)?
    13·1 answer
  • Please help me !!!!!! (wrong answers get reported)
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!