WEBVTT

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Here is the problem: 3x squared plus 48x plus 192 equals 0.

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A quadratic equation in x: solve with the quadratic formula.

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Start with the equation.

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Move every term to one side to get standard form.

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Compute the discriminant.

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delta equals 0, so there is one repeated real root.

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Apply the quadratic formula.

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Factored form.

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Now look at the graph of the left side minus the right side.

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It crosses zero exactly at the solutions we found.

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So the answer is x equals negative 8 (double root).

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The quadratic formula gives every solution of ax squared plus bx plus c equals 0.

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x equals negative 8: left side equals 0, right side equals 0, which checks out.