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$5x^{2}-37x-24=0$

What is the positive solution to the given equation?

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$5x^{2}-37x-24=0$

What is the positive solution to the given equation?

","comment":{"@type":"Comment","text":"

Choice C is correct. The left-hand side of the given equation can be factored as $(5x+3)(x-8)$. Therefore, the given equation, $5x^{2}-37x-24=0$, can be written as $(5x+3)(x-8)=0$. Applying the zero product property to this equation yields $5x+3=0$ and $x-8=0$. Subtracting $3$ from both sides of the equation $5x+3=0$ yields $5x=-3$. Dividing both sides of this equation by $5$ yields $x=-\\frac{3}{5}$. Adding $8$ to both sides of the equation $x-8=0$ yields $x=8$. Therefore, the two solutions to the given equation, $5x^{2}-37x-24=0$, are $x=-\\frac{3}{5}$ and $8$. It follows that $8$ is the positive solution to the given equation.

Choice A is incorrect and may result from conceptual or calculation errors.

Choice B is incorrect and may result from conceptual or calculation errors.

Choice D is incorrect and may result from conceptual or calculation errors.

"},"encodingFormat":"text/markdown","text":"

$5x^{2}-37x-24=0$

What is the positive solution to the given equation?

","suggestedAnswer":[{"@type":"Answer","position":0,"encodingFormat":"text/html","text":"

$\\frac{3}{5}$

"},{"@type":"Answer","position":1,"encodingFormat":"text/html","text":"

$3$

"},{"@type":"Answer","position":3,"encodingFormat":"text/html","text":"

$37$

"}],"acceptedAnswer":{"@type":"Answer","position":2,"encodingFormat":"text/html","text":"

$8$

","comment":{"@type":"Comment","text":"

"},"answerExplanation":{"@type":"Comment","text":"

"}}},"url":"https://classnotes.xyz/mcqs/sat-math-advanced-math-multiple-choice-question-75"}

$5x^{2}-37x-24=0$What is the positive solution to the given equation?

$5x^{2}-37x-24=0$What is the positive solution to the given equation?

$5x^{2}-37x-24=0$What is the positive solution to the given equation?

$5x^{2}-37x-24=0$

What is the positive solution to the given equation?

$5x^{2}-37x-24=0$

What is the positive solution to the given equation?

$5x^{2}-37x-24=0$

What is the positive solution to the given equation?