Question
Solve x^2 - minus 4x minus 5 = 0
Answers
GPT 3.5
To solve the quadratic equation x^2 - 4x - 5 = 0, we can use the quadratic formula:
x = (-b ± √(b^2 - 4ac)) / 2a
In this case, a = 1, b = -4, and c = -5.
Plugging these values into the quadratic formula, we have:
x = (4 ± √((-4)^2 - 4*1*(-5))) / 2*1
x = (4 ± √(16 + 20)) / 2
x = (4 ± √36) / 2
Now, we can simplify this equation further:
x = (4 ± 6) / 2
This gives us two possible solutions:
x1 = (4 + 6) / 2 = 10 / 2 = 5
x2 = (4 - 6) / 2 = -2 / 2 = -1
Therefore, the solutions to the quadratic equation x^2 - 4x - 5 = 0 are x = 5 and x = -1.
x = (-b ± √(b^2 - 4ac)) / 2a
In this case, a = 1, b = -4, and c = -5.
Plugging these values into the quadratic formula, we have:
x = (4 ± √((-4)^2 - 4*1*(-5))) / 2*1
x = (4 ± √(16 + 20)) / 2
x = (4 ± √36) / 2
Now, we can simplify this equation further:
x = (4 ± 6) / 2
This gives us two possible solutions:
x1 = (4 + 6) / 2 = 10 / 2 = 5
x2 = (4 - 6) / 2 = -2 / 2 = -1
Therefore, the solutions to the quadratic equation x^2 - 4x - 5 = 0 are x = 5 and x = -1.