SOLUTION: I don't know how to solve x(to the fourth) minus (five x squared) plus four. In school we did something called a diamond formula or something with a diamond and it makes everythin

Question 33685: I don't know how to solve x(to the fourth) minus (five x squared) plus four.
In school we did something called a diamond formula or something with a diamond and it makes everything easier but i don't understand. Can you explain to me how to solve this by the diamond formula. Thank you.
Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
Well, I don't believe I've heard of the "diamond formula" for solving 4th-degree polynomials.
But try this method:
Solve:
Rewrite this as:
Temporarily set
Solve this quadratic equation in y by factoring.
Apply the zero products principle.
and/or
If then
If then
But, , so:
Take the square root of both sides.
or and:
Take the square root of both sides.
or
The roots are:
x = 1
x = -1
x = 2
x = -2

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