Question

Factorise by splitting the middle term. ( Please solve )

Answer 1

Answer:

5x^2 - 2√2x- 6

5x^2 -5√2x +3√2x -6

5x(x -√2) + 3(√2x -3)

Answer 2

Answer:

$x = \sqrt{2} \: or \: - \frac{3}{5} \sqrt{2}$

Step-by-step explanation:

$5 {x}^{2} - 2 \sqrt{2} x - 6 = 0$

$5 {x}^{2} - (5 \sqrt{2} - 3 \sqrt{2} )x - 6 = 0$

$5 {x}^{2} - 5 \sqrt{2} x + 3 \sqrt{2} x - 6 = 0$

$5x(x - \sqrt{2} ) + 3 \sqrt{2} (x - \sqrt{2} ) = 0$

$(x - \sqrt{2} )(5x + 3 \sqrt{2} ) = 0$

$x = \sqrt{2} \: or \: - \frac{3}{5} \sqrt{2}$