Question

FACTORISE: x2+ 1 /4* x − 1 /8

Answer 1

Step-by-step explanation:

${x}^{2} + \frac{1}{4} x - \frac{1}{8} = 0 \\ \\ multiply \: by \: 8 \: on \: both \: sides \: we \: get \: \\ {8x}^{2} + 2x - 1 = 0 \\ \\ Now \\ \\ D = {b}^{2} - 4ac \\ \: D \: = {2}^{2} - 4 \times 8 \times - 1 \\ D = 4 + 32 \\ D = 36 \\ \\ Now \\ x \: = \: \frac{ -b ± \sqrt{ D } }{2a} \\ x = \frac{ - 2 ± 6 }{16} \\ \\ taking \:x \: positive \: \\ x \: = \: \frac{ - 2 + 6}{16} = \frac{4}{16} = \frac{1}{4} \\ \\ taking \: x \: negative \: \\ x = \frac{ - 2 - 6}{16} = \frac{ - 8}{16} = \frac{ - 1}{2}$