SOLUTION: Please help solve the following equation using Quadratic Form (NOT formula):
{{{2x^4-10x^2=-8}}}
Algebra.Com
Question 327388: Please help solve the following equation using Quadratic Form (NOT formula):
Found 2 solutions by stanbon, Earlsdon:
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
2x^4-10x^2=-8
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2x^4 - 10x^2 + 8 = 0
x^4 - 5x^2 + 4 = 0
Factor:
(x^2-4)(x^2-1) = 0
(x-2)(x+2)(x-1)(x+1)= 0
x = 2 or -2 or 1 or -1
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Cheers,
Stan H.
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Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
Temporarily substitute so now you have:
Add 8 to both sides.
So now you have a quadratic equation in y. Factor a 2.
so...
This will factor nicely into...
and from the zero product rule you get...
or therefore...
or Re-substtute
or Taking the square root of both of these, we get...
or or or
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