Biquadratic

By introducing a new variable solve biquadratic equation:

x4+277x215876=0


Correct answer:

x1 =  9
x2 =  -9
x3 =  14
x4 =  -14

Step-by-step explanation:

y=x2  y2+277y15876=0 y2277y+15876=0  a=1;b=277;c=15876 D=b24ac=27724115876=13225 D>0  y1,2=b±D2a=277±132252 y1,2=277±1152 y1,2=138.5±57.5 y1=196 y2=81   Factored form of the equation:  (y196)(y81)=0   x1=+y2=9 x2=y2=9 x3=+y1=14 x4=y1=14



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