What is the solution set of x² + 5x + 1 = 0?

Solution:

Given quadratic equation x² + 5x + 1 = 0

This resembles quadratic equation ax² + bx + c = 0

We can find the roots by using quadratic formula: {-b ± √(b² - 4ac)} / 2a

Here, a = 1; b = 5 and c = 1

x= {-5 ±√(5² - 4(1)(1))} / 2(1)

x= {-5 ± √25 -4} / 2

x= {-5 ± √21} /2

x=-0.2, -4.79

The solution set is {-0.2, -4.79}

What is the solution set of x² + 5x + 1 = 0?

Summary:

The solution set of x² + 5x + 1 = 0 is {-0.2, -4.79}.