Question

x square minus 2 root 3 x minus 24

Answer 1

√3 x^2 - 2√2 x - 2√3=0

√3 x^2 - 3√2 x + √2x -2√3 =0

√3 x(x- √6) + √2(x- √6)=0

(√3 x + √2)(x - √6)=0

x = -√2/√3 or √6

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Answer 2

${x}^{2} - 2 \sqrt{3} x - 24 \\ \\ = {x}^{2} - 4\sqrt{ 3}x - 2 \sqrt{3} x - 24 \\ \\ = x( x - 4 \sqrt{3} ) - 2 \sqrt{3} (x - 4 \sqrt{3} ) \ \\ \\ \ = (x - 4 \sqrt{3} )(x - 2 \sqrt{3} )$