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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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The standard parabola

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Step-by-step explanation:

<u><em>Explanation:-</em></u>

Given focus : (-3 ,0) ,directrix  : x=6

Let P(x₁ , y₁) be the point on parabola

PM perpendicular to the the directrix L

                          SP² = PM²

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                          y₁² = -18 x₁ +36 -9

                           y₁² = -18 x₁ +27

The standard parabola

                                y² = -18 x +27

    Length of Latus rectum = 4 a = 4 (18/4) = 18

                         

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