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
Bess [88]
3 years ago
10

Solve 4X^2+7 = 8X +4 by using the quadratic formula

Mathematics
1 answer:
Sergio [31]3 years ago
4 0

Answer:

(1.5,0)

(.5,0)

Step-by-step explanation:

Quadratic formula below

We first need to move everything to one side of the equation

4x²-8x+3=0

Then plug everything in

(8±√(-8²-4*4*3))/(2*4)

(8±√16)/8

To calculate the ± we need to do when where it's adding and then negative

we have

(8+4)/8=3/2

and hten

(8-4)/8=1/2

You might be interested in
The length of a rectangle is 4 meters less than twice its width. The are of a rectangle is 70m^2. Find the dimensions of the rec
igomit [66]

Answer:

The length is 7 m

The width is 10 m

Step-by-step explanation:

length = x

width = 2x - 4

length * width = area

It is given that the area is 70 m^{2}

From there

x * (2x - 4) = 70

2x^{2} - 4x = 70

2x^{2} - 4x - 70 = 0

x^{2} - 2x - 35 = 0

Now we have a quadratic equation, which is  ax^{2} + bx + c = 0, where a \neq 0

In this equation a = 1, b = -2 and c = -35

Discriminant (D) formula is b² - 4ac

D = -2^{2}  - 4 * 1 * (-35) = 144 > 0

This discriminant is more than 0, so there are two possible x

Their formulas are  \frac{- b - \sqrt{D}  }{2a} and \frac{- b + \sqrt{D}  }{2a}

x_{1} =  \frac{- (-2) - \sqrt{144} }{2} = -5 < 0 (the length of the rectangle has to be more than 0, so we don't use this x)

x_{2} = \frac{- (-2) + \sqrt{144} }{2} = 7 > 0 (this one is right)

Calculating the dimensions

length = x = 7 (m)

width = 2x - 4 = 2 * 7 - 4 = 10 (m)

8 0
3 years ago
????????!1!!!!!!! HELPPPPPPPPPPP
pav-90 [236]

Answer:

9

Step-by-step explanation:

Let us say, Olivia's age is x.

Now as the question says, we will get this equation.

( \frac{1}{3}  x ) + 12= 2x - 3

Multiply both sides by 3.

x + 36 = 6x - 9

Collect like terms.

x - 6x =  - 9 - 36

Calculate.

- 5x =  - 45

Divide both sides of the equation by -5.

x = 9

Then, we will get the answer.

<u>I</u><u> </u><u>h</u><u>o</u><u>p</u><u>e</u><u> </u><u>i</u><u>t</u><u> </u><u>h</u><u>e</u><u>l</u><u>p</u><u>s</u><u>.</u>

8 0
2 years ago
Is negative three a perfect cube?
erik [133]

No, it is not a perfect cube. A perfect cube is a number that is obtained when you cube an integer. For example, 8 (cube of 2), 27 (cube of 3) and 64 (cube of 4). Since -3 cannot be obtained by cubing an integer, it is not a perfect cube.

6 0
3 years ago
Which point is an x-intercept of the quadratic function<br> f(x) = (x + 6)(x – 3)?
Scilla [17]
Set each factor equal to zero and solve.
x + 6 = 0 x - 3 = 0
x = - 6 x = 3
7 0
3 years ago
Read 2 more answers
0.5+0.3-(-0.5--0.3) I AM SOOOO SRRY GUYS
11Alexandr11 [23.1K]

Answer:

0.5+0.3-(-0.5-0.3)

=1.6

3 0
2 years ago
Other questions:
  • What does Y=-x^2-3x+6 equal
    15·1 answer
  • If 2 dice are rolled at the same time, what is the probability of the 2 dice having the same face
    13·1 answer
  • Dave can complete a sales route by himself in 4 hours. James can do the same job in 5 hours. How long will it take them to do it
    12·1 answer
  • What is 625/18 as a whole number or an improper fraction
    10·2 answers
  • What are the next three terms in the sequence 13, 15, 17, 19, 21, ...?
    5·2 answers
  • 50 POINT REWARD!!!!!!!!!!!
    13·1 answer
  • !!!HELP ASAP!!
    12·1 answer
  • Which point is on the graph of the following function rule: y-7-5x
    12·1 answer
  • Jeremy wants to buy a backpack that costs $65. Luckily, the store is having a 35% off sale. What will be the sale price of the b
    15·1 answer
  • Select the three ratios that represent the number of blue marbles to red marbles.
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!