SOLUTION: Solve qudratic equation.
(x^2-7)^2+3(x^2-7)+2=0
Algebra.Com
Question 237819: Solve qudratic equation.
(x^2-7)^2+3(x^2-7)+2=0
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
Use a substitution:
Let 
Now the problem becomes
Which, more's the pity, does not factor.
Use the quadratic formula:
 \pm sqrt{(3)^2 - 4(1)(-12)}}{2(1)}\ =\ \frac{-3\ \pm\ 3\sqrt{5}}{2})
(Verification left as an exercise for the student)
But now we have to go back and unwind the substitution:
Since ,
Yes, that is uglier than a mud fence. Notice that you actually have four roots. This is, of course, to be expected because this equation began life as a quartic not a quadratic.
John
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