Question

5. Solve by using the square root property.
(x - 3)² +6=1​

Answer 1

x = 3 + i+√5

x = 3 + i-√5

OR

x= 4 - √6

x= 4 +√6

Explanation:

(x - 3)² +6=1​

(x - 3)² + 6 = 1

-6 -6

sq root > (x - 3)² = -5

x-3 = i±√5 (i because neg. number)

x = 3 + i±√5

since its ±

two possible answers

x = 3 + i+√5

x = 3 + i-√5

Or

(x - 3)² +6=1​

(x-3)+ √6= √ 1

x-3 = 1 - (±) √6

x= 4 - (±) √6

Answers

x= 4 - √6

x= 4 +√6