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3 years ago

What is the solution set of 4x^2 - 36 = 0?

2 answers:

6 0

<span>4x^2 - 36 = 0 ( Original equation )

4x^2 = 36 ( Add 36 to both sides )

x^2 = 9 ( Divide by 4 on both sides )

x = 3 , -3 ( Take the square root of 9 )

Solution set: { +3 , -3 } answer is x = +3 , x = -3</span>

gizmo_the_mogwai [7]3 years ago

4 0

Add 36 to both sides and divide by 4
and take its square root the answer is = 3

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Use mathematical induction to prove that for each integer n > 4,5" > 2^2n+1 + 100.

Flura [38]

Answer:

The inequality that you have is $5^{n}>2^{2n+1}+100,\,n>4$ . You can use mathematical induction as follows:

Step-by-step explanation:

For $n=5$ we have:

$5^{5}=3125$

$2^{(2(5)+1)}+100=2148$

Hence, we have that $5^{5}>2^{(2(5)+1)}+100.$

Now suppose that the inequality holds for $n=k$ and let's proof that the same holds for $n=k+1$ . In fact,

$5^{k+1}=5^{k}\cdot 5>(2^{2k+1}+100)\cdot 5.$

Where the last inequality holds by the induction hypothesis.Then,

$5^{k+1}>(2^{2k+1}+100)\cdot (4+1)$

$5^{k+1}>2^{2k+1}\cdot 4+100\cdot 4+2^{2k+1}+100$

$5^{k+1}>2^{2k+3}+100\cdot 4$

$5^{k+1}>2^{2(k+1)+1}+100$

Then, the inequality is True whenever $n>4$ .

3 0

3 years ago

What is the result when 6x^2-13x+12is subtracted =3x^2+6x+7

iragen [17]

Answer:

The answer is 3x²-7x+19

5 0

3 years ago

-4(3x – 7) = 52 for x.

AURORKA [14]

Answer:

-2

Step-by-step explanation:

-4(3x – 7) = 52

3x-7= -13

3x= -6

x= -2

5 0

3 years ago

Can someone tell me step by step how to solve this?

sasho [114]

Answer:

Step-by-step explanation:

I take it that this is some sort of ratio. Start by solving the brackets on the left.

Brackets: 1/3 - 1/10

Brackets: 10/30 - 3/30

Brackets: 7/30

Brackets^2: 49/900

Brackets^2 - 1/5: 49/900 - 180/900

Brackets^2 - 1/5: -131/900

(2/5)^2 = 4/25

The way this read, it should be

$\frac{\frac{-131}{900} }{\frac{4}{25} }$

Which when you invert and multiply becomes

$\frac{-131}{900} * \frac{25}{4}$

which finally becomes

$\frac{-131}{144}$

7 0

3 years ago

Find x on the lines plz and thanks

Triss [41]

Answer:

x = 9

this is a ratio problem. You can see that 12/6 = 2, so you can also take 18/2 to get 9.

6 0

3 years ago

Read 2 more answers