Question

1. Now consider equations of the form , where a, b, and c are all positive integers and . (a) Create an equation of this form that has 7 as a solution and an extraneous solution. Give the extraneous solution. (b) What must be true about the value of to ensure that there is a real number solution to the equation? Explain.

Answer 1

a) To create an equation

X+X =7

so what's X over here is

7² = x²

X=3.5

b) Real numbers are mixture of irrational and rational numbers so √5 and √6 are irrational where as 5 and 6 are not but they two are equal to each other.

Explaining the equation:

√5 +√6 = √11

5 +6 = 11

√11 =11

√= 11 ÷ 11

√= 1

So if root is 1 then -1 is -√

this is the answer propably