All categories

3 years ago

Form the quadratic equation whose one root is 2 + 2^(1/2)

Mathematics

1 answer:

Oksanka [162]3 years ago

4 0

9514 1404 393

Answer:

x^2 -4x +2 = 0

Step-by-step explanation:

The other root is the conjugate of the given one, so is 2-√2. The quadratic equation in factored form is then ...

(x -2-√2)(x -2+√2) = 0

Expanding this, we get ...

(x -2)^2 -(√2)^2 = 0

x^2 -4x +4 -2 = 0

x^2 -4x +2 = 0 . . . . the equation you're looking for

You might be interested in

40 points!!! please tell me how to do it not what the answer is :D

Julli [10]

Answer:

Step-by-step explanation:

You first distribute within the parentheses which is -(-z-2). This is going to make everything positive as everything in the parentheses is negative. You should get z+2. Next, you plug that back in. It should be-3z+z+2. You simplify to get -2z+2. Hope this helps!

5 0

3 years ago

Read 2 more answers

The area of a rectangle is x² + 3x – 28 and the width is x + 7. What is the length of the

g100num [7]

Answer:

X+4

Step-by-step explanation:

length times width = area

(X+7)(X-4) = x^2 +3x-28

6 0

3 years ago

Lashaya decides to jog 8 miles. She is only able to jog 5/16 that distance. Write the distance

Novay_Z [31]

Answer:

The distance is $2.5\ miles$

Step-by-step explanation:

Let

x------> the distance

we know that

To find the distance, multiply the total distance of 8 miles by 5/16

$x=8(\frac{5}{16})=\frac{5}{2}=2.5\ miles$

6 0

3 years ago

a botanist was measuring how tall her plant grew. after two weeks it had grown 9.62 inches. the second week alone it had grown 3

Elanso [62]

Answer:

6.5 inches

Step-by-step explanation:

Take the total 9.62 inches

Remove the 3.12 inches from the second week and there is your answer!

6 0

3 years ago

This year the fifth grade collected 216 fewer plastic containers than the fourth grade.How many plastic containers did the fifth

kap26 [50]

Let number of plastic containers collected by fourth grade= x

Then number of plastic containers collected by fifth grade students=x-216

If number of plastic container collected by fifth grade is y

then number of plastic container collected by fourth grade=y+216

So, we can write it as follows

⇒ number of plastic containers collected by fourth grade= number of plastic containers collected by fifth grade +216

7 0

3 years ago

Form the quadratic equation whose one root is 2 + 2^(1/2)​

Form the quadratic equation whose one root is 2 + 2^(1/2)