Quandaries and Queries


Name: Elizabeth

Who is asking: Student
Level: Secondary

x-6square root of x +8=0



Hi Elizabeth,

The point of this question is for you to recognize a pattern. What you need to see is an expression with three terms and the variable in the first term is the square of the variable in the second term. That is

x = (square root of x)2

I would change the variable by

z2 = x

and then the equation becomes

z2 - 6 z + 8 = 0

Factor this expression and solve for z, and then x is the square root of z.

Make sure that you check your answer.



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