Solve each problem by using the quadratic formula. Write solutions in simplest radical form. 2x2 – 2x – 1 = 0

Answers

Answer 1

Answer: When you have a quadratic in the form ax² + bx + c = 0, you can solve for x using the quadratic formula, which is as follows:
$x=(-b\pm√(b^2-4ac))/(2a)$
In this case, a = 2, b = -2, and c = -1. Let's plug these in.
$x=\frac{-(-2)\pm√((-2)^2-4(2)(-1)){2(2)}$
Simplify...
$x=\frac{2\pmsqrt{4+8}}4$

$x=\frac{2\pmsqrt{12}}4$

$√(12)=√(2*2*3)=2√(3)$

$x=\frac{2\pm2√(3)}4$

$x=\frac{1\pm√(3)}2$

$\boxed{x=\frac{1+√(3)}2\ or\ \frac{1-√(3)}2}$

Answer 2

Answer: 2x² - 2x - 1 = 0
x = -(-2) ± √((-2)² - 4(2)(-1))
   2(2)
x = 2 ± √(4 + 8)
      4
x = 2 ± √(12)
4
x = 2 ± 2√(3)
      4
x = 1 ± √(3)
   2
x = 1 + √(3) U x = 1 - √(3)
   2 2

Related Questions

Which ordered pair will solve the equation 2 × 4 + x = y?A. (5, 16) B. (4, 12) C. (3, 12) D. (2, 9)
Please help if you know how to solve itThank you!
4m-5t=-22 5m+6t=-3 Solve by Elimination
Need help solving this -3 + y = 0
Which number is greater 0.45 or0.449

Which comes first domain or range

Answers

they are intertwined the domain is the allowed values of the independent varialbles and the range is the allowed values of the dependent variable.

in order for this to work.range comes first because for example a 100-500 range between the phone cost

Which trinomials are perfect square trinomials?Choose exactly two answers that are correct.

a2 + 4a + 16

a2 + 14a + 49

a2 + 15a + 75

a2 + 26a + 169

Answers

The exactly two answers are correct are a² + 14a + 49 and a² + 26a + 169.

What are trinomials?

The condition for the perfect trinomials is if the coefficient of a² = 1 and If you divide the middle number coefficient by 2 and you square it you get the last term.

For all the options, the coefficient of a² = 1.

a² + 4a + 16.

Coefficient of a = 4.

4/2 = 2

2² = 4, this does not equal the last term so it is not a perfect square trinomial.

a² + 14a + 49.

Coefficient of a = 14.

14/2 = 7

7² = 49, this is equal to the last term so it is a perfect square trinomial.

And the perfect square is (a +7)²

Similarly, if you test the last option.

a² + 26a + 169.

Coefficient of a = 26.

26/2 = 13

13² = 169, this is equal to the last term so it is a perfect square trinomial.

And the perfect square is (a +13)²

The only two options are: a² + 14a + 49 and a² + 26a + 169. Other options do not pass this test.

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You can know a perfect square trinomial:

i) if the coefficient of a² = 1.

ii) If you divide the middle number coefficient by 2 and you square it you get the last term.

Take for example the first option:

For all the options, the coefficient of a² = 1

a² + 4a + 16.

Coefficient of a = 4.
4/2 = 2
2² = 4, this does not equal the last term so it is not a perfect square trinomial.

a² + 14a + 49.

Coefficient of a = 14.
14/2 = 7
7² = 49, this is equal the last term so it is a perfect square trinomial.
And the perfect square is (a +7)²

Similarly if you test the last option.

a² + 26a + 169.

Coefficient of a = 26.
26/2 = 13
13² = 169, this is equal the last term so it is a perfect square trinomial.
And the perfect square is (a +13)²

So the only two options are: a² + 14a + 49 and a² + 26a + 169.

Other options do not pass this test.

What is the range of the function represented by this graph?

Answers

We can write the range of the function f(x) as -

Range → (- ∞, 4].

What is function?

A function is a relation between a dependent and independent variable. We can write the examples of function as -

y = f(x) = ax + b

y = f(x, y, z) = ax + by + cz

Given is a parabola as shown in the image.

Range is the set of {y} values i.e. the values of the function f{x} in entire

domain of the function. So, from the definition of range, we can write the

range of the function as -

Range → (- ∞, 4].

Therefore, we can write the range of the function f(x) as -

Range → (- ∞, 4].

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Answer:

C. y < or = to 5

Step-by-step explanation:

the function stops at 5, so the numbers below are apart of the function, including 5. So, it is C.

have a great day

Two customers went to a flower shop to buy roses and daisies. Each bunch of roses costs the same amount, and each bunch of daisies costs the same amount.The first customer paid $62.00 for 3 bunches of roses and 4 bunches of daisies.
The second customer paid $60.00 for 2 bunches of roses and 5 bunches of daisies.
What was the cost, in dollars, of each bunch of roses?

(A) $8.25

(B) $9.50

(C) $10.00

(D) $12.00

Answers

Answer:c 10.00

Step-by-step explanation:

i just took the test lol

HELP PLEASE WITH 1 AND 21. Simplify the following expression
2.given the following equation solve for a.
(Assume a,b and c are positive real numbers)

Answers

1:option(c)
2:option(c) again

#5.Chose one of two tables below to create your own Question (with solution).

My Conditional Frequency Question is:

My solution (work and answer):

Please explain how/why you chose this question

Answers

Therefore , the solution of the given problem of unitary method comes out to be the likelihood that a particular child has a curfew given that they have tasks is 3/7, or roughly 0.43.

What is an unitary method?

The job can be completed by bringing together what was learned and applying this variable technique, that also includes all supplementary data from two people that utilized a specific tactic. To put it another way, if the desired outcome materialises, either the entity stated in the calculation will be recognised, or both expression essential processes will truly skip the colour. For forty pencils, a refundable charge of Rupees ($1.01) might be required.

Here,

Using the following formula, one can determine the conditional chance that a child will have a curfew if they have chores:

Curfew and duties are equal, so

=>P(curfew | chores) = P (chores)

The odds are listed in the table below:

=> Curfew and errands P = 3/10

=> P(tasks) = 7/9

Therefore,

=> P(curfew | chores)=3/10/ (7/10)=3/7

Therefore, the likelihood that a particular child has a curfew given that they have tasks is 3/7, or roughly 0.43.

To know more about unitary method visit:

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