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
Pavel [41]
3 years ago
14

Which of the following are solutions to the equation below?

Mathematics
1 answer:
sladkih [1.3K]3 years ago
7 0

Answer:

\mathrm{The\:solutions\:to\:the\:quadratic\:equation\:are:}

                  x=3,\:x=-\frac{1}{2}

Step-by-step explanation:

considering the equation

2x^2\:-\:4x\:-\:3\:=\:x

solving

2x^2\:-\:4x\:-\:3\:=\:x

2x^2-4x-3-x=x-x

2x^2-5x-3=0

\mathrm{For\:a\:quadratic\:equation\:of\:the\:form\:}ax^2+bx+c=0\mathrm{\:the\:solutions\:are\:}

x_{1,\:2}=\frac{-b\pm \sqrt{b^2-4ac}}{2a}

\mathrm{For\:}\quad a=2,\:b=-5,\:c=-3:\quad x_{1,\:2}=\frac{-\left(-5\right)\pm \sqrt{\left(-5\right)^2-4\cdot \:2\left(-3\right)}}{2\cdot \:2}

solving

x=\frac{-\left(-5\right)+\sqrt{\left(-5\right)^2-4\cdot \:2\left(-3\right)}}{2\cdot \:2}

x=\frac{5+\sqrt{\left(-5\right)^2+4\cdot \:2\cdot \:3}}{2\cdot \:2}

x=\frac{5+\sqrt{49}}{2\cdot \:2}

x=\frac{5+7}{4}

x=3

also solving

x=\frac{-\left(-5\right)-\sqrt{\left(-5\right)^2-4\cdot \:2\left(-3\right)}}{2\cdot \:2}

x=\frac{5-\sqrt{\left(-5\right)^2+4\cdot \:2\cdot \:3}}{2\cdot \:2}

x=\frac{5-\sqrt{49}}{4}

x=-\frac{2}{4}

x=-\frac{1}{2}

Therefore,

                 \mathrm{The\:solutions\:to\:the\:quadratic\:equation\:are:}

                  x=3,\:x=-\frac{1}{2}

You might be interested in
Which property is used to simplify the expression 5(3x +18) to 15x+90
natka813 [3]

Answer:

Distributive

Step-by-step explanation:

You distribute the 5 into 3x+18, multiplying it by each part of the equation (each part is separated by one of these signs: +, -, x, or /) to get 15x (from 5 x 3x) plus 60 (from 5 x 18).

6 0
3 years ago
Optimization-
pishuonlain [190]
Do you want a proof or just the answer?
The answer is: the square (2.5x2.5).
5 0
3 years ago
Line AB contains points A(4, 5) and B(9, 7). What is the slope of AB?
horsena [70]
The answer is 2/5 which is C. You're welcome
4 0
3 years ago
Read 2 more answers
Cho A =
FromTheMoon [43]

Step-by-step explanation:

uyghouihh9uhu9h9h79h97gouhh,jhkjhouhouhkjhkugiyt75r75r76f8ug87

5 0
3 years ago
100 decreased by a<br> number k equals 44
Arte-miy333 [17]

Answer:

56

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Other questions:
  • I cannot solve this. can u plis solve this huhuhuhuhuhuhuhuhuhu
    7·1 answer
  • The formula f=5280m can be used to convert a measurement of f feet to an equivalent measurement m miles. If an airplane flies at
    7·1 answer
  • What is equivalent to 75%?
    11·1 answer
  • What is the difference between relative frequency and conditional relative frequency
    7·1 answer
  • You have 12 cups of granola and $8\frac{1}{2}$
    5·1 answer
  • Hi
    12·1 answer
  • What is the slope of the line that passes through the points (0, -2) and (9,-5)?
    6·1 answer
  • A regular reader of BYTE magazine, Fritz, has decided to purchase a computer with these particular specifications. These compute
    8·1 answer
  • 2021/202251
    5·1 answer
  • What is the equation of a line with a slope of 4 and contains the point (1,-6)
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!