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

Solution:

Given, x² + 5x - 5 = 0

We have to find the solution to the equation.

Using the quadratic formula,

x = [-b ± √b² - 4ac]/2a

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

x = [-5 ± √5² - 4(1)(-5)]/2(1)

x = [-5 ± √25 + 20]/2

x = [-5 ± √45]/2

x = [-5 ± 6.708]/2

Now,

x = (-5 - 6.708)/2

x = -11.708/2

x = -5.854

x = (-5 + 6.708)/2

x = 1.708/2

x = 0.854

Therefore, the solutions to the equation are 0.854 and -5.854.

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

Summary:

The solution set of x² + 5x - 5 = 0 is 0.854 and -5.854