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
Lesechka [4]
3 years ago
14

Use the Quadratic Formula to solve the equation 4x^2−7=4x.

Mathematics
1 answer:
tino4ka555 [31]3 years ago
6 0

Answer:

\large\boxed{x=\dfrac{1}{2}-\sqrt2\ or\ x=\dfrac{1}{2}+\sqrt2}

Step-by-step explanation:

\text{The quadratic formula of}\ ax^2+bx+c=0:\\\\x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}

\text{We have:}\\\\4x^2-7=4x\qquad\text{subtract}\ 4x\ \text{from both sides}\\\\4x^2-4x-7=0\\\\a=4,\ b=-4,\ c=-7\\\\b^2-4ac=(-4)^2-4(4)(-7)=16+112=128\\\\\sqrt{b^2-4ac}=\sqrt{128}=\sqrt{64\cdot2}=\sqrt{64}\cdot\sqrt2=8\sqrt2\\\\x=\dfrac{-(-4)\pm8\sqrt2}{(2)(4)}=\dfrac{4\pm8\sqrt2}{8}\qquad\text{simplify by 4}\\\\x=\dfrac{1\pm2\sqrt2}{2}\to x=\dfrac{1}{2}\pm\sqrt2

You might be interested in
Bob has two weekend jobs last weekend he made a total of $77 after working as a cashier for 5 hours and delivering newspapers fo
OlgaM077 [116]

Answer: $9 per hour at his job as a cashier and $8 per hour at his job delivering newspapers.

Step-by-step explanation:

1. Let's call the amount he got paid per hour at his job as a cashier: x.

Let's call the amount he got paid per hour at his job delivering newspapers: y.

2. Keeping on mind the information given in the problem above, you can make the following system of equations:

\left \{ {{5x+4y=77 \atop {6x+3y=78}} \right.

3. You can solve it by applying the Substitution method, as following:

- Solve for one of the variables from one of the equations and substitute it into the other equation to solve for the other variable and calculate its value.

- Substitute the value obtained into one of the original equations to solve for the other variable and calculate its value.

 4. Therefore, you have:

5x+4y=77\\5x=77-4y\\x=\frac{77-4y}{5}=15.4-0.8y

Then:

6(15.4-0.8y)+3y=78\\92.4-4.8y+3=78\\-1.8y=-14.4\\y=8

Finally:

5x+4(8)=77\\5x+32=77\\5x=45\\x=9

Therefore he got paid $9 per hour at his job as a cashier and $8 per hour at his job delivering newspapers.

5 0
3 years ago
Please help thanks in advance also best answer get's brainlest
Neko [114]

Answer:

angle t is 55 degrees

Step-by-step explanation:

Here's my work:

Isoscelese means two of the same length sides. A triangle is 180 degrees. 180-70=110

110/2=55 (two because those are the two angles associated with the equal sides)

5 0
2 years ago
What is multiply: -7*4
Luden [163]

Answer:

-28

you welcome ........ :)

7 0
3 years ago
Erin has 1 7/8 pounds of trail mix. She wants to make 1/12-pound bags of the mix for snacks. How many full bags can she make?
Andreyy89
For this question , you just need to divide 1 7/8 with 1/12

1 7/8 : 1/12

= 15/8  : 1/12

= 15/8 x 12/1

= 22.5 bags.

So i guess she can make around 22 full bags

hope this helps
4 0
3 years ago
Read 2 more answers
Julio is 36 years old, and James is 11 years old. In how many years will Julio’s age be twice a many as James’s age?
boyakko [2]

Answer:

in 14 years Julio will be 50 and James will be 25

6 0
3 years ago
Other questions:
  • can someone help? I'm getting ready to slit someone's throat, I'm so irritated. I have 7 of these to do. ​
    13·1 answer
  • Is 212.5% the same as 2.125?​
    8·1 answer
  • If two angles are right angles, then they are supplementary angles.
    11·2 answers
  • Help me solve this conversions problem
    5·2 answers
  • How are geometric sequences related to exponential functions?
    9·1 answer
  • A large number of applicants for admission to graduate study in business are given an aptitude test. Scores are normally distrib
    8·1 answer
  • All numbers streets runs parallel to each other both 3rd and 4 the streets are intersected by king Ave
    8·1 answer
  • Question 2
    12·1 answer
  • help im famous biologist .................................................................. please daddy
    5·2 answers
  • Given that y= 6 cm and θ= 32 °, work out x rounded to 1 dp.<br><br><br>(not drawn to scale)
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!