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
Vinil7 [7]
3 years ago
12

Solve 2x^2- 7x - 4 = 0 using the Quadratic Formula.

Mathematics
1 answer:
AVprozaik [17]3 years ago
4 0

Answer:

The final answers are:

x = 4

x = -\frac{1}{2}

Step-by-step explanation:

-The equation:

2x^2 -7x-4=0

Use the Quadratic Formula:

\frac{-b\pm\sqrt{b^2-4ac} }{2a}

x =\frac{-(-7)\pm \sqrt{(-7)^2-4\time2(-4)} }{2\times2}

-Then, you solve:

x = \frac{-(-7)\pm \sqrt{(-7)^2-4\time2(-4)} }{2\times2}

-Multiply -7 by the exponent 2:

x =\frac{-(-7)\pm \sqrt{49-4\time2(-4)} }{2\times2}

-Multiply to the 4 and the 2:

x =\frac{-(-7)\pm \sqrt{49-8(-4)} }{2\times2}

-Distribute -4 by 8:

x=\frac{-(-7)\pm \sqrt{49+32} }{2\times2}

-Add 49 and 32 together:

x =\frac{-(-7)\pm \sqrt{81} }{2\times2}

-Take the square root of 81:

x= \frac{-(-7)\pm 9 }{2\times2}

-The opposite of -7 is 7:

x = \frac{7\pm 9 }{2\times2}

-Multiply 2 times 2:

x = \frac{7\pm 9 }{4}

-Add both the 7 and 9:

x = \frac{16}{4}

-Divide 16 by 4 to get 4:

x = 4

So, the first answer x = 4 and you need to find the second answer.

-To find the second answer, you to reduce the fraction to lowest terms and canceling out the 2:

x = \frac{-2}{4}

x = -\frac{1}{2}

So, the second answer is x = -\frac{1}{2}.

-The results are:

x =4

x = -\frac{1}{2}

You might be interested in
Answer the following
Murljashka [212]

Answer:

Step-by-step explanation:

7 0
3 years ago
A car travels 24 km in 15 minutes. How far does it travel in 1 and a half hours
VladimirAG [237]

Answer:

144 km

Step-by-step explanation:

1 hour and a half hour = 90 minutes.

In 15 minutes a car travels 24 km

In 1 minute a car travels (24÷15) = 1.6 km

In 90 minutes a car travels (90×1.6)= 144 km

Ans.- 144 km

4 0
2 years ago
What is the solution to the equation 5 (x minus 6) = 2 (x + 3)?
Reika [66]
The answer is x=12 :))
8 0
3 years ago
Pls help me with my beestar
Minchanka [31]
Mmmmm Maybe you should try doing something doing something doing something during
8 0
3 years ago
Read 2 more answers
Which expressions do you get when you eliminate the negative exponents of .........
kvasek [131]

Answer:

D. 4(a^2)(a^3)/16(b)(b^2)

Step-by-step explanation:

5 0
3 years ago
Other questions:
  • 1.Which statement correctly describes the relationship between the graph of f(x)=4xf(x)=4x and the graph of g(x)=f(x)+3g(x)=f(x)
    7·2 answers
  • A bag contains 126 buttons. Some have two holes and the rest have four holes there are 8 two holes buttons for every four holes
    11·1 answer
  • Which equations represent circles that have a diameter of 12 units and a center that lies on the y-axis? Select two options. x2
    6·2 answers
  • Evaluate the expression 7x2y, when x = 4 and y = 2.<br> 112<br> 224<br> 542<br> 718
    9·2 answers
  • Find the volume of the cone. Leave your answers in therms of pi.
    9·1 answer
  • The actual length of Wall C is 4 m. To represent Wall C, Noah draws a segment 16 cm long. What scale is he using? Explain or sho
    5·1 answer
  • Six plus four times a number, plus four minus four times the number.
    10·2 answers
  • The recipe calls for 2 2/4 but jams only have 1/4 how many cups do jams need to measure out 2 2/4 cups of raisins
    11·1 answer
  • 7 1/2 sticks of butter are needed to make 5 cakes. How much butter is needed to make one cake?
    5·2 answers
  • Can someone help me I need this done ASAP like TODAY… I know D. I just dont know A, B, C. Please helppppppppp meeeeeeeeee
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!