(根号2)乘(X的平方)+3x-2(根号2)=0 求x的值

问题描述:

(根号2)乘(X的平方)+3x-2(根号2)=0 求x的值

√2x^2+3x-2√2=0
√2(x^2+3√2/2x-2)=0
x^2+3√2/2x-2=0
x^2+3√2/2x=2
x^2+3√2/2x+(3√2/4)^2=2+(3√2/4)^2
(x+3√2/4)^2=2+9/8
(x+3√2/4)^2=25/8
x+3√2/4=±5√2/4
x=√2/2或-2√2