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
Elena-2011 [213]
3 years ago
13

Solve it using quadratic formula.grade 910 points​

Mathematics
1 answer:
madreJ [45]3 years ago
5 0

Answer:

  1. {-1/4, 1}
  2. {3/4, 6}

Step-by-step explanation:

1. We can clear fractions and solve the resulting quadratic. We clear fractions by multiplying the equation by the product of the denominators.

  \dfrac{2x+1}{2x-1}-\dfrac{2x-1}{2x+1}=\dfrac{8}{3}\\\\3((2x+1)^2-(2x-1)^2)=8(2x-1)(2x+1)\\\\3(8x) = 8(4x^2 -1)\\\\4x^2 -3x -1 = 0\qquad\text{factor out 8, subtract 3x}\\\\x=\dfrac{-(-3)\pm\sqrt{(-3)^2-4(4)(-1)}}{2(4)}=\dfrac{3\pm\sqrt{25}}{8}\\\\x=\dfrac{3\pm5}{8}=\left\{-\dfrac{1}{4},1\right\}

__

2. Using the same idea here, we get ...

  \dfrac{2}{x-2}+\dfrac{3}{x}=\dfrac{9}{x+3}\\\\2(x)(x+3)+3(x-2)(x+3)=9(x-2)(x)\\\\2x^2+6x+3(x^2+x-6)=9x^2-18x\\\\4x^2-27x+18=0\\\\x=\dfrac{-(-27)\pm\sqrt{(-27)^2-4(4)(18)}}{2(4)}=\dfrac{27\pm\sqrt{441}}{8}\\\\x=\dfrac{27\pm21}{8}=\left\{\dfrac{3}{4},6\right\}

You might be interested in
Desi is about to dilate ABC by multiplying each coordinate by d.
Zinaida [17]
The answer is d not enough information
8 0
2 years ago
Simplify<br><br> 4+3[5-4 divided by(12-10)]
12345 [234]
12-10=2, 4/2=2, 5-2=3, 3*3=9, 4+9=13
8 0
3 years ago
PLEASE HELP <br><br> Absolute Value Inequalities
Mazyrski [523]
What do you need help with?
6 0
3 years ago
I need to find what A and B are
laiz [17]

Answer:

a = 6, b = 3

Step-by-step explanation:

5a - 4 = 2a + 14

3a = 18

a = 6

6 = 2b

b = 3

6 0
3 years ago
2/9 x 45<br> <img src="https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B9%7D%20%2A%2045%5C%5C" id="TexFormula1" title="\frac{2}{9} * 45\
Tcecarenko [31]

Answer:

Divide X^2-14x+45 by x-9

Step-by-step explanation:

im just trying to get free points

3 0
3 years ago
Other questions:
  • The vertex of the function’s graph is given. Find c. y = x2 + 10x + c; (-5, -27)
    9·1 answer
  • A school for learning foreign languages has 72 students who learn German, and 54 of those students also learn Russian. There are
    13·1 answer
  • Dmitri needs 6 liters of a 16% solution of sulfuric acid for a research project in molecular biology. He has two supplies of sul
    15·1 answer
  • HELPPPP ASAP! I WILL GIVE BRAINLIS!!
    12·1 answer
  • Where can the denominator be found in a fraction?
    5·2 answers
  • Factor:
    10·1 answer
  • Need help asap<br> will mark you brainliest
    8·2 answers
  • BRAINLIEST IF CORRECT
    6·2 answers
  • In God of Highschool: Who was the one opponent that Taek Jegal didn't view as trash?​
    14·1 answer
  • Are A and B parallel?
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!