(5-x )^1/2=5-x ^2 solve for x?

1 Answer
Jun 6, 2018

#x_1=-1/2+1/2*sqrt(21)#
#x_2=1/2-1/2sqrt(17)#

Explanation:

After squaring we get
#0=x^4-10x^2+x+20#
factorizing we get
#(x^2+x-5)(x^2-x-4)=0#
solving the quadratics and checking the nsolutions we get the solutions above.