Question

find the zeros of the following polynomial 5 root 5 x square + 30 X + 8 root 5​

Answer 1

Answer:

$5 \sqrt{5} {x}^{2} + 30x + 8 \sqrt{5} = 0 \\ \\ = > 5 {x}^{2} + 6 \sqrt{5} x + 8 = 0 \\ \\ = > 5 {x}^{2} + 4 \sqrt{5} x + 2 \sqrt{5} x + 8 = 0 \\ \\ = > \sqrt{5} x( \sqrt{5} x+ 4) + 2( \sqrt{5} x + 4) = 0 \\ \\ = > ( \sqrt{5} x + 2)( \sqrt{5} x + 4) = 0 \\ \\ = > x = \frac{ - 2}{ \sqrt{5} } \: ,\: - \frac{4}{ \sqrt{5} }$

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