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3 years ago

What is the value of the variable is

Mathematics

1 answer:

Gala2k [10]3 years ago

6 0

The value of the variable is what the variable equals to.

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Solve for x.

Ivahew [28]

ANSWER

$x=\frac{2-\sqrt{10}} {3}$

or

$x=\frac{\sqrt{10}+2} {3}$

We have

$3x^2-4x-2=0$

Since we cannot factor easily, we complete the square.

Adding 2 to both sides give,

$3x^2-4x=2$

Dividing through by 3 gives

$x^2-\frac{4}{3}x= \frac{2}{3}$

Adding $(-\frac{2}{3})^2$ to both sides gives

$x^2-\frac{4}{3}x+(-\frac{2}{3})^2= \frac{2}{3}+(-\frac{2}{3})^2$

The expression on the Left Hand side is a perfect square.

$(x-\frac{2}{3})^2= \frac{2}{3}+\frac{4}{9}$

$\Rightarrow (x-\frac{2}{3})^2= \frac{10}{9}$

$\Rightarrow (x-\frac{2}{3})=\pm \sqrt{\frac{10}{9}}$

$\Rightarrow (x)=\frac{2}{3} \pm {\frac{\sqrt{10}}{3}$

Splitting the plus or minus sign gives

$x=\frac{2- \sqrt{10}} {3}$

or

$x=\frac{\sqrt{10}+2} {3}$

3 0

2 years ago

Read 2 more answers

Zia was driving his truck on the superhighway. His speed was recorded by the motorway camera between 6:00 am to 8:30 am. He cove

kodGreya [7K]

Answer:

Average speed = 100 km/h

Step-by-step explanation:

Given:

Total distance covered = 250 km

Total time taken = 8:30 am - 6:00 am = 2:30 hours = 2.5

Find:

Average speed.

Computation:

⇒ Average speed = Total distance covered / Total time taken

⇒ Average speed = 250 / 2.5

⇒ Average speed = 100 km/h

6 0

2 years ago

Help and fast i'm on the quiz Which two points on the number line represent numbers that can be combined to make zero??

hoa [83]

Answer:

B and D

Step-by-step explanation:

-2 + 2 = 0

7 0

2 years ago

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3a-28-7a+10a <br><br> Someone PLEASE HELP

tiny-mole [99]

Answer:

6a - 28

Step-by-step explanation:

combine like terms

3a - 28 - 7a + 10a

3a - 7a + 10a = 6a

have a lovely day :)

8 0

1 year ago

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The length of a rectangle is 5 inches and the width is 7 inches. What is the area of

sashaice [31]

Answer:

35 inches

L×W=A

length×width=area

4 0

2 years ago

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