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Bogdan [553]
3 years ago
15

Using the quadratic formula to solve 7x2 – x = 7, what are the values of x?

Mathematics
2 answers:
lesya692 [45]3 years ago
7 0

Answer:c

Step-by-step explanation:

Kruka [31]3 years ago
5 0
How the quadratic formula works:

For any quadratic equation ax² + bx + c = 0, the solution is x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}.

In the case of our equation 7x² - x = 7, first we need to subtract 7 from each side so that we have 0 on the right.
7x² - x - 7 = 0

Identify the values of a, b, and c.
a = 7, b = -1, and c = -7.

Plug these into our quadratic formula and solve.

x=\frac{-(-1)\pm\sqrt{(-1)^2-4(7)(-7)}}{2(7)}=\boxed{\frac{1\pm\sqrt{197}}{14}

There are two values for x: (1+√197)/14 and (1-√197)/14.
The approximate values for these are 1.073976 and -0.931119.
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Divide 30 by it's half, add the half of 18 that has been divided by the half of the half of 12 after been divided by half.
WARRIOR [948]

Answer:

We want to divide 30 by it's half.

The half of 30 is 30/2 = 15

then we have: 30/15 = 2

Now we want to add the half of 18, that has ben divided by the half of the half of 12 hafter been divided by half.

The half of 12 is 12/2 =  6

the half of the half of 12 is 6/2 = 3

now, we wanto to divide the half of 18 by that number.

The half of 18 is 18/2 = 9

then we have 9/3 = 3

and we wanted to add this to the number previous found:

2 + 3 = 5

6 0
3 years ago
Solve for x <br> log2(5x-4)=4 <br> Please show steps
lina2011 [118]

Answer:

x=1.2

Step-by-step explanation:

2(5x-4)=4

distribute 2 to 5x and -4

10x-8=4

add 8 to negative 8 and 4

10x=12

now divide both sides by 10

10x/10= 12/10

x=1.2

6 0
2 years ago
Consider the trinomial 6x2 + 13x + 6.
attashe74 [19]
In the given expression 6X² + 13X +6, we can easily identify the values of a, b and c. These values are a=6, b=13 and c=6
For the value of "ac", we have:
ac=6*6
ac=36
For a sum of b are 4, we have
ac+b=36+13=49
Therefore, the answer for the last question "The two numbers that have a product of ac and a sum of b are 4 and 9".
8 0
2 years ago
Read 2 more answers
Jessica is 5 years older than her sister Jenna. Jenna tells her sister that in 5 years, she will be as old as Jessica was 5 year
vlabodo [156]

Answer:

x + 5 = (x + 5) - 5, which has no solution ⇒ answer C

Step-by-step explanation:

* Lets study the situation in the problem

- Jessica is 5 years older than her sister Jenna

- After five years Jenna's age will be as old as Jessica was five years ago

- Jenna's age now is x

* Lets change all information above to equation

∵ Janna's age now is x

∵ Jessica is 5 years old than Janna

∴ The age of Jessica now is x + 5

- After 5 years Janna's age will be add by 5 years

∵ Her age now is x

∴ Her age after 5 years will be x + 5

- From 5 years ago Jessica's age was her age now mins 5 years

∵ Her age now is x + 5

∴ Her age from 5 years ago is (x + 5) - 5

∵ Janna's age after 5 years = Jessica age from 5 years ago

∴ x + 5 = (x + 5) - 5

- Lets solve the equation to know how many solution

∵ x + 5 = x + 5 - 5 ⇒ add the like terms

∴ x + 5 = x ⇒ subtract x from both sides

∴ 5 = 0

- But 5 ≠ 0, the two sides of the equation not equal each other

∴ There is no solution for this equation

* The equation is x + 5 = (x + 5) - 5, which has no solution

8 0
3 years ago
Read 2 more answers
4 books for 1$12.00 3 books for $9.00 What is the price per book? What is the constant of proportionality
Valentin [98]

Answer:

the price per book is $3 the constant of proportionality is 3

Step-by-step explanation:

12 divided by 4 is 3 and 9 divided by 3 is 3 so it means that the price for 1 book is going to be 3 and for every book you buy the original value will be 3.

6 0
3 years ago
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