+33615 "Find all values of x that satisfy 6(x + 1/x)^2 - 35(x + 1/x) + 50 = 0."
First let y = x + 1/x. Then we have 6y^2 -35y + 50 = 0 Solve this using the quadratic equation, to get two values of y.
Then set x + 1/x equal to each value of y in turn, multiply through by x each time to get another quadratic (this time in x) and solve for x.
You will get four values of x in total.
+33615 "Find all values of x that satisfy 6(x + 1/x)^2 - 35(x + 1/x) + 50 = 0."
First let y = x + 1/x. Then we have 6y^2 -35y + 50 = 0 Solve this using the quadratic equation, to get two values of y.
Then set x + 1/x equal to each value of y in turn, multiply through by x each time to get another quadratic (this time in x) and solve for x.
You will get four values of x in total.
