How do you solve #x= 3- x \sqrt { 2}#?

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Answer 1 · 2017-12-14T00:28:24

#x=3/(1+sqrt2)#

Solving equations is the isolation of the variable:

Since we already have #x# on the left side, leave it that way.

Add #xsqrt2# to both sides to get #x+xsqrt2=3#

The left hand side can be simplified by taking a factor of #x# out:

#(1+sqrt2)x=3#

Now just divide both sides by #(1+sqrt2)#

Therefore, #x=3/(1+sqrt2)#