Question

factories x^2-2√5x-15​

Answer 1

$x ^{2} - 2 \sqrt{5} x - 15$

$x ^{2} - (3 \sqrt{5} - \sqrt{5} )x - 15$

$x ^{2} - 3 \sqrt{5} x + \sqrt{5} x - 15$

$x(x - 3 \sqrt{5} ) + \sqrt{5} (x - 3 \sqrt{5} )$

$(x - 3 \sqrt{5} )(x + \sqrt{5} )$

Answer 2

Hello Friend

Here is your answer below,,

$x {}^{2} - 2 \sqrt{5} x - 15 = 0 \\ = > x {}^{2} - 3 \sqrt{5} x + \sqrt{5} x - 15 = 0 \\ = > x(x - 3 \sqrt{5} ) + \sqrt{5} (x - 3 \sqrt{5} ) = 0 \\ = > (x - 3 \sqrt{5} )(x + \sqrt{5} ) = 0 \\ = > x - 3\sqrt{5} = 0 \\ = > x = 3 \sqrt{5} \\ \\ or\\ \\ = > x + \sqrt{5} = 0 \\ = > x = - \sqrt{5}$

I hope that helps you