Question

1) Solve x^2 - 4x - 5 = 0 and enter solutions below.

2) Push the "Graph It" Button to see a graph of y = x^2 - 4x - 5

Solution 1:

Solution 2:

Answer 1

x1 = -1;

x2 = 5

Explanation:

`{x}^(2) - 4x - 5 = 0`

a = 1; b = -4; c = -5

`d = {b}^(2) - 4ac =( { - 4})^(2) - 4 * 1 * ( - 5) = 16 + 20 = 36 > 0`

`x1 = ( - b - √(d) )/(2a) = (4 - 6)/(2 * 1) = ( - 2)/(2) = - 1`

`x2 = ( - b + √(d) )/(2a) = (4 + 6)/(2 * 1) = (10)/(2) = 5`