Question

用适当的方式解方程1.x平方=(4根号3)x-112.（根号2）x平方-2x-根号2=0

Answer 1

1.x^2=(4*3^0.5)x-11

x^2-(4*3^0.5)x+11=0

x1=2*3^0.5+(12-11)^0.5=2*3^0.5+1

x2=2*3^0.5-(12-11)^0.5=2*3^0.5-1

2.(2^0.5)x^2-2x-2^0.5=0

x^2-(2x)/(2^0.5)-1=0

x^2-(2^0.5)x-1=0

x1=(2^0.5)/2+(1/2+1)^0.5=1/(2^0.5)+(3/2)^0.5=(1+3^0.5)/(2^0.5)

x2=(2^0.5)/2-(1/2+1)^0.5=1/(2^0.5)-(3/2)^0.5=(1-3^0.5)/(2^0.5)