Here is one way to solve for x.

Step 1) 2x^2-7=9

Step 2) 2x^2-7+7=9+7

Step 3) 2x^2=16

Step 4) (2x^2)/2=16/2

Step 5) x^2=8

Step 6) sqrt(x^2)=sqrt(8)

Step 7) |x|=sqrt(8)

Step 8) x=sqrt(8) or x=-sqrt(8)

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Below are explanations/reasons to each of the steps above.

Step 1) Original equation

Step 2) Add 7 to both sides

Step 3) Combine like terms

Step 4) Divide both sides by 2

Step 5) Simplify

Step 6) Apply the square root to both sides. The notation "sqrt" is shorthand for "square root"

Step 7) Use the rule that sqrt(x^2) = |x| for all real numbers x

Step 8) Use the rule that if |x| = k then x = k or x = -k for some fixed number k.

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The two solutions are
x = sqrt(8) or x = -sqrt(8)

3 0

4 years ago

Solve the following<br><img src="https://tex.z-dn.net/?f=5x-2%3D%20-9x%2B8" id="TexFormula1" title="5x-2= -9x+8" alt="5x-2= -9x+

OLEGan [10]

Answer:

5x - 2 = (-9x) + 8

5x + 9x = 8 + 2

14 x = 10

x = 10 / 14

x = 5/7

6 0

2 years ago

Read 2 more answers

As a member of a music club, you can order CDs for $14.99 each. The music club also charges $4.99 for each shipment. The express

KATRIN_1 [288]

I hope this helps you

6 0

4 years ago

How many dots would be in the 7th picture ?

neonofarm [45]

Answer: 28 dots

Step-by-step explanation: In this pattern,

we can see the the first figure is just 1 dot.

The second figure has a new row on the bottom with 2 dots.

The third figure has a new row on the bottom with 3 dots

and the fourth figure has a new row on the bottom with 4 dots.

So continuing with this pattern,

the next figure will have a new row with 5 dots,

the next will have a new row with 6 dots,

and the next will have a new row with 7 dots.

So in the 7th picture, we will have 7 + 6 + 5 + 4 + 3 + 2 + 1 dots.

This simplifies to 28 dots.

Take a look below.

6 0

4 years ago