Question

Solve this quadratic equation using the quadratic formula.

2x^2 - 2x = 1

Answer 1

Quadratic formula is b^2 - 4ac where a,b,c are coefficients of the quadratic equation a.x^2 + b.x + c = 0

Therefore, in this case, a is 2 and b is -2 and c is -1.
Hence, The solution is (-2)^2 - 4(2)(-1) = 12

Hope this helps.

Answer 2

2x^2-2x-1=0
\[x=(-b \pm \sqrt{b^2-4ac})/2a\]
now a=2,b=-2,c=-1
\[x=(2\pm \sqrt{4+8})/4=2\pm \sqrt{12}/4=2\pm2\sqrt{3}/4=1\pm \sqrt{3}/2\]

Answer 3

\[x=(1\pm \sqrt{3})/2\]