Question
Find the value of the lesser root of x2 - 6x + 8 = 0.
Answers
GPT 3.5
We can find the roots of the quadratic equation x^2 - 6x + 8 = 0 by using the quadratic formula: x = (-b ± √(b^2-4ac))/(2a).
In this equation, a = 1, b = -6, and c = 8.
Using the quadratic formula, we have:
x = (-(-6) ± √((-6)^2 - 4(1)(8)))/(2(1))
= (6 ± √(36 - 32))/2
= (6 ± √4)/2
= (6 ± 2)/2
Now we have two possible values for x:
1. x = (6 + 2)/2 = 8/2 = 4
2. x = (6 - 2)/2 = 4/2 = 2
Therefore, the lesser root of the equation x^2 - 6x + 8 = 0 is x = 2.
In this equation, a = 1, b = -6, and c = 8.
Using the quadratic formula, we have:
x = (-(-6) ± √((-6)^2 - 4(1)(8)))/(2(1))
= (6 ± √(36 - 32))/2
= (6 ± √4)/2
= (6 ± 2)/2
Now we have two possible values for x:
1. x = (6 + 2)/2 = 8/2 = 4
2. x = (6 - 2)/2 = 4/2 = 2
Therefore, the lesser root of the equation x^2 - 6x + 8 = 0 is x = 2.