FCPS Managed Bookmarks $\newline$ Gmail $\newline$ All $\newline$ New Tab $\newline$ $8$ -Fitness Tracker $\newline$ if e-hallpass $\newline$ mathspace $\newline$ StudentvuE $\newline$ Untitled task $\newline$ $10$ . Find the solution(s) of $3 x^{2}-20 x+12=0$ . Give your answer to three decimal places. If there is more than one solution, write all the solutions on the same line, separated by commas. $\newline$ $x=\text { Enter your next step here }$ $\newline$ $\stackrel{+\infty}{x+}$ () $\quad \overline{\pi \infty} \quad a^{b} \quad \frac{a}{b}$ $\newline$ Submit step $\newline$ View next step $\newline$ Search

Full solution

Q. FCPS Managed Bookmarks

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Gmail

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All

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New Tab

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8

-Fitness Tracker

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if e-hallpass

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mathspace

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StudentvuE

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Untitled task

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10

. Find the solution(s) of

3 x^{2}-20 x+12=0

. Give your answer to three decimal places. If there is more than one solution, write all the solutions on the same line, separated by commas.

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x=\text { Enter your next step here }

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\stackrel{+\infty}{x+}

()

\quad \overline{\pi \infty} \quad a^{b} \quad \frac{a}{b}

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Submit step

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View next step

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Identify Equation Type: Identify the type of equation and method to solve it. $\newline$ We have a quadratic equation: $3x^2 - 20x + 12 = 0$ . We'll use the quadratic formula, $x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$ , to find $x$ .
Substitute Coefficients: Substitute the coefficients into the quadratic formula. $\newline$ $a = 3$ , $b = -20$ , $c = 12$ . $\newline$ $x = \frac{-(-20) \pm \sqrt{(-20)^2 - 4\cdot3\cdot12}}{2\cdot3}$ .
Calculate Discriminant: Calculate the discriminant $b^2 - 4ac$ . $\newline$ Discriminant = $(-20)^2 - 4\cdot3\cdot12 = 400 - 144 = 256$ .
Calculate Values of x: Calculate the values of x using the discriminant. $\newline$ $x = \frac{20 \pm \sqrt{256}}{6} = \frac{20 \pm 16}{6}$ . $\newline$ $x_1 = \frac{20 + 16}{6} = \frac{36}{6} = 6.0$ , $\newline$ $x_2 = \frac{20 - 16}{6} = \frac{4}{6} = 0.667$ .