Question 1163336
your equation is 30 * (p^2 - 1) = 11 * p
simplify to get:
30 * p^2 - 30 = 11 * p
subtract 11 * p from both sides of the equation to get:
30 * p^2 - 11 * p - 30 = 0
factor this quadratic equation to get:
p = 1.2 or p = -.83333333......
when p = 1.2, the equation becomes:
30 * (1.2^2 - 1) = 11 * 1.2
this results in 13.2 = 13.2 which is true.
when p = -.83333333......, the equation becomes:
30 * ((-.83333333......)^2 - 1) = 11 * (-.83333333......)
this results in -9.1666666666...... = -9.1666666666...... which is true.
solution is confirmed to be good.
your values for p are:
p = 1.2 or p = -.83333333......