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frez [133]
3 years ago
12

4x2 + y2 = 36 Obtener dominio

Mathematics
1 answer:
Veronika [31]3 years ago
3 0

<em>Answer:</em>

<em>[-3,3]</em>

<em>Step-by-step explanation:</em>

<em>Write the problem as a mathematical expression.</em>

<em>4x^2+y^2=36</em>

<em>Subtract 4x^2 from both sides of the equation.</em>

<em>y^2=36-4x^2</em>

<em>Take the square root of both sides of the equation to eliminate the exponent on the left side.</em>

<em>y= + and - </em>\sqrt{36-4x^2}<em />

<em>The complete solution is the result of both the positive and negative portions of the solution.</em>

<em>y= </em>2\sqrt{(3+x)(3-x)<em />

<em />y= -2\sqrt{(3+x)(3-x)}<em />

<em>Set the radicand in </em>\sqrt{(3+x)(3-x)} \geq 0<em> greater than or equal to 0 to find where the expression is defined.</em>

<em />(3+x)(3-x)\geq 0<em />

<em>So your answer would be [-3,3]</em>

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