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
vichka [17]
3 years ago
15

7. Solve the equation using the quadratic formula. 3x^2 = 2(2x+1)

Mathematics
1 answer:
suter [353]3 years ago
8 0

Answer:

\rm x = \dfrac{2+\sqrt{10}}{3},\dfrac{2-\sqrt{10}}{3}

Step-by-step explanation:

A quadratic equation is given to us and we need to solve the equation using the quadratic formula . The given equation is ,

\rm\implies 3x^2=2(2x+1)

Open the brackets in RHS ,

\rm\implies 3x^2= 4x + 2

Transpose all the terms to LHS ,

\rm\implies 3x^2-4x-2=0

The general form of a quadratic equation is ax² + bx + c = 0 , and the roots of the equation by the Quadratic Formula ( Shreedhacharya's Formula ) is given by ,

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

Using the quadratic formula , we have ,

\rm\implies x =\dfrac{-(-4) \pm \sqrt{(-4)^2-4(3)(-2) }}{2(3)}

Simplify ,

\rm\implies x =\dfrac{4 \pm \sqrt{16+24 }}{6}

\rm\implies x = \dfrac{4\pm \sqrt{40}}{6}

\rm\implies x =\dfrac{4\pm 2\sqrt{10}}{6}

\rm\implies\boxed{\pink{\frak{ x = \dfrac{2+\sqrt{10}}{3},\dfrac{2-\sqrt{10}}{3}}}}

You might be interested in
Lisa wants to frame her little brothers drawing as a gift to her mother.the rectangle drawing is 43.5 centimeters by 934 millime
konstantin123 [22]

Answer:

Lisa will need 273.8\ cm of wood framing

Step-by-step explanation:

we know that

The perimeter of rectangle is equal to

P=2(b+h)

In this problem we have

b=43.5\ cm

h=934\ mm

convert to cm

Remember that  1\ cm=10\ mm

h=934\ mm=934/10=93.4\ cm

substitute the values and solve the perimeter

P=2(43.5+93.4)=273.8\ cm

7 0
3 years ago
What's the answer ?<br><br><br><img src="https://tex.z-dn.net/?f=%20%5Csqrt%7B245%20%2B%2044%7D%20" id="TexFormula1" title=" \sq
-Dominant- [34]

\huge\mathfrak\pink{Answer...}

+,- 17

\huge\mathfrak\purple{hope \: it \: helps..}

8 0
3 years ago
Read 2 more answers
5/7^3 = 5(7^x)<br> Thank you for helping!!
SIZIF [17.4K]

When solving this equation you get x = -3.

To solve this, simply follow the order of operations for solving.

\frac{5}{7^{3}}  = 5(7^{x} ) ----> start by dividing both sides by 5

\frac{1}{7^{3}}  = (7^{x} ) -----> Now you can transform the front side of the equation to use negative exponents.

7^{-3} = 7^{x}

Since both x and -3 are the powers of x, we can eliminate the 7 and just make the exponents equal.

-3 = x

8 0
3 years ago
Evaluate the function.
Lunna [17]
20
...........................
7 0
3 years ago
Read 2 more answers
HOW do I solve these questions?
weeeeeb [17]

Okkk

Step-by-step explanation:

1. 5(1+9v)=5+5x9v=5+(5x9v)=5+45v

2.(20:4/12:4)=4(5b+3)

4 0
3 years ago
Read 2 more answers
Other questions:
  • In a bowl of marbles, there are 5 red ones, 6 green ones, and 4 blue ones. If two marbles are chosen at random without replaceme
    14·1 answer
  • How do I plot y=2x-4
    11·1 answer
  • There are 40 pupils in a class. There are x more girls than boys. How many boys are there in terms of x?
    15·1 answer
  • Nancy is buying a new pair of boots. The store is having a sale and all boots are 20% off. Which expression represents the sale
    11·1 answer
  • 6x-y≥-10 help me please find it
    13·1 answer
  • Pls help with math asap
    8·2 answers
  • Given - 4x/7greater 10
    12·1 answer
  • ILL BRAINLIEST YOU PLEASE HELP ME
    9·2 answers
  • Y=x²+16x+63<br> plz help im confusing myself on this problem plz show work to thx for the help
    7·1 answer
  • The z value for a 97. 8% confidence interval estimation is.
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!