Question

Solve each equation, if possible. Write irrational numbers in simplest radical form. Describe the strategy you used to get your solution and tell why you chose that strategy.

a. x² +4 =0
b. x²^2 -6x +1=0

Answer 1

Hello there.

Solve each equation, if possible. Write irrational numbers in simplest radical form. Describe the strategy you used to get your solution and tell why you chose that strategy.

x = 3 + √(2) x = 3 - √(2)

Answer 2

For the answer to the question above, I'll provide my solutions below.
x² + 4 = 0
- 4 - 4
x² = -4
x = +2i

x² - 6x + 1 = 0
x = -(-6) +/- √((-6)² - 4(1)(1))
2(1)
x = 6 +/- √(36 - 4)
2
x = 6 +/- √(32)
2
x = 6 +/- 2√(2)
2
x = 3 + √(2)
x = 3 + √(2) x = 3 - √(2)
I hope this helps.