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Salsk061 [2.6K]
3 years ago
14

What is the positive solution to the equation 0=1/3x^2-3

Mathematics
1 answer:
fgiga [73]3 years ago
3 0
Let's solve your equation step-by-step.<span>0=<span><span><span>13</span><span>x2</span></span>−3</span></span>Step 1: Subtract 1/3x^2 from both sides.<span><span>0−<span><span>13</span><span>x2 </span></span></span>= <span><span><span><span>13</span><span>x2</span></span>−3</span>−<span><span>13</span><span>x2</span></span></span></span><span><span><span><span>−1</span>3</span><span>x2 </span></span>= <span>−3</span></span>Step 2: Divide both sides by (-1)/3.<span><span><span><span><span>−1</span>3</span><span>x2 </span></span><span><span>− 1</span>3</span></span>=<span><span>− 3 </span><span><span>−1</span>3</span></span></span><span><span>x2 </span>= 9</span>Step 3: Take square root.<span>x=<span>±<span>√9</span></span></span><span><span>x=<span><span>3<span> or </span></span>x</span></span>=<span>−3</span></span>Answer:<span><span>x=<span><span>3<span> or </span></span>x</span></span>=<span>−<span>3</span></span></span>
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JK=4x+7 and KL=3x+14 find JL
Lena [83]

Answer:

Step-by-step explanation:

4x + 7 = 3x + 14

x + 7 = 14

x = 7

4(7) + 7 + 3(7) + 14

28 + 7 + 21 + 14

35 + 35 = 70

5 0
3 years ago
I need this ASAP!<br><br><br>7a-8b=10x
Rufina [12.5K]
Ok so if you notice every choice is solved for a, all you have to do is isolate "a" in 7a-8b=10x. Start by moving 8b to the other side and to change the sign. Now it is 7a = 10x + 8b. Then divide everything by 7 and you get a = (10x + 8b)/7
8 0
4 years ago
What are the solutions of the equation x4 95x2 â€"" 500 = 0? Use factoring to solve.
liq [111]

All the values of the <em>x</em> <em> </em>for the given function are \sqrt{5},-\sqrt{5}, 10i and -10i.

Given-

Given function is,

x^{4}+95x^2-500=0

Rewrite the equation,

(x^2)^2+95x^2-500=0

Let <em>u </em>in place of x^2 and rewrite the equation in the form of u,

u^2+95u-500=0

Break the 95 in factors and rewrite the equation,

u^2+100u-5u-500=0

u(u+100)-5(u+100)=0

(u+100)(u-5)=0

Replace the value of u with x^2,

(x^2+100)(x^2-5)=0

It is known that If any individual factor on the left side of the equation is equal to zero then the entire expression will be equal to zero. therefore we get,

x^2-5=0

further, solve it,

x^2=5

x=\sqrt{5},-\sqrt{5}

And another factor is

x^2+100=0

x^2=-100

x=10i,-10i

Hence, all the values of the <em>x </em>for the given function are \sqrt{5},-\sqrt{5},  10i , and  -10i.

For more about the factorization, follow the link below-

brainly.com/question/6810544

5 0
3 years ago
Jamal will cut a piece of wood that is 2 1/2 feet long into 1/4-foot sections. How many sections will result?
allochka39001 [22]
........The answer is B
4 0
3 years ago
Read 2 more answers
A zoo keeper wants to fence a rectangular habitat for goats. The length of the habitat should be at least 80 feet, and the perim
Bogdan [553]

Let x ft be the lenght of the fence and y ft be the width of the fence.

1. The length of the habitat should be at least 80 feet, then

x\ge 80\ ft.

2. The perimeter of the habitat should be no more than 300 feet. The perimeter of the fenceis 2x+2y ft, then

2x+2y\le 300\ ft.

3. The system of inequalities that represent the model is

\left\{\begin{array}{l}x\ge 80\\2x+2y\le 300\end{array}\right..

The graph of these inequalities is attached.

Two possible solutions are

  1. x=100 ft, y=20 ft (100≥80 and 2·100+2·20=240≤300);
  2. x=110 ft, y=30 ft (110≥80 and 2·110+2·30=280≤300).

8 0
4 years ago
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