Solve the given equation. (See Exercise 1.)
4a4 = 2 − 7a2
Exercise 1
Solve the equation z4 − 2z2 = 15 as follows.
(a) Let x = z2 and write the equation in terms of x.
(b) Solve the new equation for x.
(c) Set z2 equal to each positive answer in part (b) and solve the resulting equation.
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