Question

Find the zeroes of the quadratic polynomial

$5 {x}^{2} - 2 \sqrt{5} x - 3 = 0$

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Answer 1

$\bold{\boxed{HEY!!!}}$


Given quadratic equation => 5x² - 2√5x - 3 = 0


$\underline{FACTORIZATION}$


The product should be 15 and sum shoup be 2√5


Such pair is - 3√5 & √5


So


5x² + √5x - 3√5x - 3 = 0


=> √5.√5x² + √5x - 3√5x - 3 = 0


=> √5x(√5x + 1 ) - 3( √5x + 1 ) = 0


=> ( √5x + 1 )( √5x - 3 ) = 0


=> √5x + 1 = 0. or. √5x - 3 = 0


$x = \frac{ - 1}{ \sqrt{5} } \: \: \: \: \: \: \: \: \: \: \: or \: \: \: \: \: \: \: \: \: \: x = \frac{3}{ \sqrt{5} } \\ \\ \\ so \: the \: roots \: of \: given \: quadratic \: equation \: are \: \frac{3}{ \sqrt{5} } \: and \: \frac{ - 1}{ \sqrt{5} }$

Answer 2

Hey it will help you....