Find the values of a : $7 a^{2} + 7 a - 20 = 0$

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Solution

$7 a^{2} + 7 a - 20 = 0$

$x_{1, 2} = \frac{- b \pm \sqrt{b^{2} - 4 a c}}{2 a}$

$a = \frac{- 7 \pm \sqrt{7^{2} - 4 \cdot 7 (- 20)}}{2 \cdot 7}$

$= \frac{- 7 \pm \sqrt{49 + 560}}{14}$

$= \frac{- 7 \pm \sqrt{609}}{14}$

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$(7 a^{2} - 63 b^{2}) = ? (a) (7 a - 9 b) (9 a + 7 b) (b) (7 a - 9 b) (7 a + 9 b) (c) 9 (a - 3 b) (a + 3 b) (d) 7 (a - 3 b) (a + 3 b)$

7 a^{2} + 14 + \frac{7}{a^{2}}

\frac{7 a^{2} + 2 b^{2}}{7 a^{2} - 2 b^{2}} = \frac{113}{13}

\frac{a}{b}

\frac{7 a^{2} + 2 b^{2}}{7 a^{2} + 2 b^{2}} = \frac{113}{13}

\frac{a}{b}

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