Question

solve -3x^2-14=-11x
make all solutions in fraction form not decimal

Answer 1

Start with -3x^2 - 14 = -11x. Rearranging gives -3x^2 + 11x - 14 = 0, or multiplying by -1: 3x^2 - 11x + 14 = 0.

Use the quadratic formula x = [11 ± sqrt(11^2 - 4·3·14)]/(2·3) = [11 ± sqrt(121 - 168)]/6 = [11 ± sqrt(-47)]/6.

So the solutions (in fraction form) are x = 11/6 ± (i·sqrt(47))/6. There are no real solutions.