Solve in real numbers the equation
\displaystyle \-x+sqrt{1-x^{2}}\-=sqrt{2}\left(2x ^{2}-1\right)\-x+sqrt1−x
2
\-=sqrt2(2x
2
−1).

Asix-sided die of unknown bias is rolled 20 times, and the number 3 comes up 6 times. in the next three rounds (the die is rolled 20 times in each round), the number 3 comes up 6 times, 5 times, and 7 times. the experimental probability of rolling a 3 is 10 %, which is approximately % more than its theoretical probability. (round off your answers to the nearest integer.)