- #1

mark2142

- 211

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- Homework Statement
- “We know extraneous solutions may get introduced when we square the two sides of an equation because the operation of squaring can turn a false equation into true one”.

- Relevant Equations
- ##2x-1= -\sqrt{2-x}##

Does this mean for x=1 , ##2(1)-1= -\sqrt{2-1}## is false. x=1 is not a solution.

But as we square the above equation , ##(2(1)-1)^2=(-\sqrt{2-1})^2## , false equation becomes true. So now x=1 is solution to the new equation ?

(Here is the paragraph attached) from book James Stewart.

But as we square the above equation , ##(2(1)-1)^2=(-\sqrt{2-1})^2## , false equation becomes true. So now x=1 is solution to the new equation ?

(Here is the paragraph attached) from book James Stewart.