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2 years ago

Factor 2x2 - 6x + 4 completely.

Mathematics

1 answer:

Tresset [83]2 years ago

5 0

Answer:

2(x - 1)(x - 2)

Step-by-step explanation:

2x^2 - 6x + 4

= 2(x^2 - 3x + 2)

= 2(x - 1)(x - 2)

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Use the quadratic formula to solve the equation. If necessary, round to the nearest hundredth.

marishachu [46]

Answer:

Thus, the two root of the given quadratic equation $x^2-6=-x$ is 2 and -3 .

Step-by-step explanation:

Consider, the given Quadratic equation, $x^2-6=-x$

This can be written as , $x^2+x-6=0$

We have to solve using quadratic formula,

For a given quadratic equation $ax^2+bx+c=0$ we can find roots using,

$x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$ ...........(1)

Where, $\sqrt{b^2-4ac}$ is the discriminant.

Here, a = 1 , b = 1 , c = -6

Substitute in (1) , we get,

$x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

$\Rightarrow x=\frac{-(1)\pm\sqrt{(1)^2-4\cdot 1 \cdot (-6)}}{2 \cdot 1}$

$\Rightarrow x=\frac{-1\pm\sqrt{25}}{2}$

$\Rightarrow x=\frac{-1\pm 5}{2}$

$\Rightarrow x_1=\frac{-1+5}{2}$ and $\Rightarrow x_2=\frac{-1-5}{2}$

$\Rightarrow x_1=\frac{4}{2}$ and $\Rightarrow x_2=\frac{-6}{2}$

$\Rightarrow x_1=2$ and $\Rightarrow x_2=-3$

Thus, the two root of the given quadratic equation $x^2-6=-x$ is 2 and -3 .

7 0

3 years ago

Read 2 more answers

Nate is making a picture frame by cutting a small rectangular prism out of a larger rectangular prism. When the project is compl

dybincka [34]

Surface area= [15*3*2]+[20*3*2]+[10*3*2]+[14*3*2]+[15*3*2]+[14*2.5*2]

surface area=90+120+60+84+90+70=514 in²

the answer is 514 in²

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3 years ago

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Answer:

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3 years ago

Find the solution to the system of equations.

Bad White [126]

Answer:

3x - 2 = -5x + 6

8x = 8

x = 1

y = 3 (1) -2

y = 3 - 2

y = 1

Step-by-step explanation:

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3 years ago

Read 2 more answers

Irene is going to read a 216-page book.

Alexxx [7]

Answer: 4 days

Step-by-step explanation:

The complete exercise is "Irene is going to read a 216-page book. If she reads at a rate of 18 pages per day, how many days will it take her to read $\frac{1}{3}$ of the book?"

For this problem you can calculate how many pages $\frac{1}{3}$ of the book represents.

According to the information given in the exercise, you know that total number of pages the book has is the following:

$total=216$

Therefore, knowing that, you need to multiply that total pages by $\frac{1}{3}$ . So you get that:

$\frac{1}{3}(216\ pages)= 72\ pages$

Now, let "x" represents the number of days that will take Irene to read 72 pages.

Knowing that Irene reads the book at a rate of 18 pages per day, you can set up the following proportion:

$\frac{1}{18}=\frac{x}{72}$

Finally, you have to solve for "x" in order to find its value. You get that this is:

$(72)(\frac{1}{18})=x\\\\\frac{72}{18}=x\\\\x=4$

Therefore, it will take her 4 days to read $\frac{1}{3}$ of the book.

6 0

3 years ago