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
ozzi
2 years ago
7

Use the quadratic formula to solve 4x²-9x=2x²-2x-4

Mathematics
1 answer:
Georgia [21]2 years ago
5 0

4x^2-9x = 2x^2 -2x -4\\\\\implies 4x^2 -9x -2x ^2 +2x +4 =0\\\\\implies 2x^2 -7x +4=0\\\\\text{Apply quadratic formula,}~ x = \dfrac{-b \pm \sqrt{b^2 -4ac}}{2a}.\\\\\text{In this case,} ~a =2, b = -7 ~ \text{and}~ c =4\\\\\\x =\dfrac{-(-7) \pm \sqrt{(-7)^2 - 4 \cdot 2 \cdot 4}}{2(2)}\\\\\\\implies x = \dfrac{7 \pm \sqrt{17}}4\\\\\\\text{Hence,}~ x = \dfrac{7 +\sqrt{17}}4~ \text{and}~x = \dfrac{7 -\sqrt{17}}4

You might be interested in
What is the perimeter of a sandbox that measures 5 feet by 6 feet?
hjlf

Answer:

22 feet

Step-by-step explanation:

6+5+6+5

= 11+11

= 22

6 0
2 years ago
140 fluid ounces increased by 45%
Radda [10]
100\%\ increased\ by\ 45\%=100\%+45\%=145\%\\\\method\ \#1\\\\p\%=\frac{p}{100}\to145\%=\frac{145}{100}=\frac{145:5}{100:5}=\frac{29}{20}\\\\145\%\ of\ 140=\frac{29}{20}\cdot140=29\cdot7=\boxed{203\ (ounces)}\leftarrow answer


method\ \#2\\\\\begin{array}{ccc}140&-&100\%\\x&-&145\%\end{array}\ \ \ cross\ multiply\\\\\\100\cdot x=140\cdot145\ \ \ \ |divide\ both\ sides\ by\ 100\\\\x=\frac{140\cdot145}{100}\\\\\boxed{x=203\ (ounces)}
4 0
3 years ago
How many 0.5 liter glasses of water can be poured from a full 6 liter pitcher
adelina 88 [10]
12 0. Litler glasses
3 0
3 years ago
If your credit card is stolen and the thief runs up a total debt of $1,000, but you notify the issuer of the card as soon as you
Yuki888 [10]

Answer:

50 dollars

Step-by-step explanation:

college website

3 0
2 years ago
What is the area of the composite figure? A. 216 cm2 B. 192 cm2 C. 100 cm2 D. 264 cm2
zmey [24]
C. because I just asked my math teacher
7 0
2 years ago
Read 2 more answers
Other questions:
  • 3x-4=17<br><br> whats he answer x
    15·2 answers
  • A triangle has side lengths 24, 32, and 42. is it a right triangle? explain.
    10·2 answers
  • 3 4 8 11 44 49 What is the next number?
    13·1 answer
  • I will give you branilest!
    8·2 answers
  • X+3, -2x^(2)-6x, 4x^(3)+12x^(2) what is the 8th term in this geometric sequence
    9·1 answer
  • John took a quiz there are 25 questions, I got a 76% how many did John get right and how many did he get wrong
    13·2 answers
  • Help which one is call u do a little explaining of how u got it need help also not just answer
    11·1 answer
  • Please help me!! i’ll give brainliest the the best answer
    7·2 answers
  • Write the algebraic expression for the following: 12 more than a number, n.
    12·2 answers
  • What is the mean?<br><br> 2, 5, 4, 8, 4, 10, 2<br><br> TYPE ONLY THE NUMERIC ANSWER
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!