Grade 10 Math: Quadratic Equations, Graphs, and More Solving Quadratic Equations Through Factoring

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Find the roots for the following equation $$ x^2 - 8x + 5 = 0$$

\(x = 4+\sqrt{11}\) or \(x = 4-\sqrt{11}\)
\(x = 2+\sqrt{11}\) or \(x = 2-\sqrt{11}\)
\(x = 3+\sqrt{11}\) or \(x = 3-\sqrt{11}\)
\(x = 5+\sqrt{11}\) or \(x = 5-\sqrt{11}\)
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Find the roots for the following equation $$ 4x^2 + 8x - 9 = 0$$

\(x = -1+\frac{\sqrt{11}}{2}\) or \(x = -1-\frac{\sqrt{11}}{2}\)
\(x = -3+\frac{\sqrt{13}}{2}\) or \(x = 31-\frac{\sqrt{13}}{2}\)
\(x = -2+\frac{\sqrt{13}}{2}\) or \(x = -2-\frac{\sqrt{13}}{2}\)
\(x = -1+\frac{\sqrt{13}}{2}\) or \(x = -1-\frac{\sqrt{13}}{2}\)
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Find the roots for the following equation $$ 3x^2 - 12x - 7 = 0$$

\(x = 2+\frac{\sqrt{57}}{3}\) or \(x = 2-\frac{\sqrt{57}}{3}\)
\(x = 3+\frac{\sqrt{57}}{3}\) or \(x = 3-\frac{\sqrt{57}}{3}\)
\(x = 2+\frac{\sqrt{51}}{3}\) or \(x = 2-\frac{\sqrt{51}}{3}\)
\(x = 4+\frac{\sqrt{57}}{3}\) or \(x = 4-\frac{\sqrt{57}}{3}\)
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Find the roots for the following equation $$ 20x^2 - 13x + 2 = 0$$

\(x = -\frac{1}{2}\) or \(x = \frac{1}{4}\)
\(x = -\frac{5}{2}\) or \(x = \frac{1}{4}\)
\(x = -\frac{5}{2}\) or \(x = \frac{3}{4}\)
\(x = -\frac{7}{2}\) or \(x = \frac{1}{4}\)
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Find the roots for the following equation $$ 8x^2 + 14x - 15 = 0 $$

\(x = -\frac{5}{2}\) or \(x = \frac{3}{4}\)
\(x = -\frac{3}{2}\) or \(x = \frac{3}{4}\)
\(x = -\frac{5}{2}\) or \(x = \frac{1}{4}\)
\(x = -\frac{5}{2}\) or \(x = \frac{5}{4}\)
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Find the roots for the following equation $$\frac{3}{x}- \frac{11}{2}=5x$$

\(x = -\frac{1}{2}\) or \(x = \frac{1}{5}\)
\(x = -\frac{3}{2}\) or \(x = \frac{1}{5}\)
\(x = -\frac{3}{2}\) or \(x = \frac{2}{5}\)
\(x = -\frac{1}{2}\) or \(x = \frac{2}{5}\)
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Find the roots for the following equation $$6x^2 - x - 15 = 0$$

\(x = -\frac{3}{2}\) or \(x = \frac{5}{3}\)
\(x = -\frac{1}{2}\) or \(x = \frac{5}{3}\)
\(x = -\frac{3}{2}\) or \(x = \frac{7}{3}\)
\(x = \frac{3}{2}\) or \(x = \frac{5}{3}\)
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Find the roots for the following equation $$ 8x^2 + 10x - 25 = 0$$

\(x = -\frac{5}{2}\) or \(x = -\frac{1}{4}\)
\(x = -\frac{5}{2}\) or \(x = \frac{3}{4}\)
\(x = -\frac{5}{2}\) or \(x = \frac{1}{4}\)
\(x = -\frac{1}{2}\) or \(x = \frac{1}{4}\)
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Find the roots for the following equation $$ 20x^2 - 13x + 2 = 0$$

\(x = \frac{5}{4}\) or \(x = -\frac{5}{2}\)
\(x = \frac{1}{4}\) or \(x = -\frac{1}{2}\)
\(x = \frac{5}{4}\) or \(x = -\frac{3}{2}\)
\(x = \frac{1}{4}\) or \(x = -\frac{5}{2}\)
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Find the roots for the following equation $$ \frac{2x-7}{7}=\frac{6}{3x-1}$$

\(x = 1\) or \(x = -\frac{7}{6}\)
\(x = 5\) or \(x = -\frac{5}{6}\)
\(x = 5\) or \(x = -\frac{1}{6}\)
\(x = 5\) or \(x = -\frac{7}{6}\)
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