Question
solve x^2-7x+5=0 using the quadratic formula.
Answers
GPT 3.5
The quadratic formula is given by:
x = (-b ± sqrt(b^2 - 4ac)) / (2a)
In our equation, a = 1, b = -7, and c = 5.
Plugging in these values into the quadratic formula, we have:
x = (-(-7) ± sqrt((-7)^2 - 4(1)(5))) / (2(1))
Simplifying further:
x = (7 ± sqrt(49 - 20)) / 2
x = (7 ± sqrt(29)) / 2
Therefore, the solutions to the equation x^2 - 7x + 5 = 0 are:
x = (7 + sqrt(29)) / 2
x = (7 - sqrt(29)) / 2
x = (-b ± sqrt(b^2 - 4ac)) / (2a)
In our equation, a = 1, b = -7, and c = 5.
Plugging in these values into the quadratic formula, we have:
x = (-(-7) ± sqrt((-7)^2 - 4(1)(5))) / (2(1))
Simplifying further:
x = (7 ± sqrt(49 - 20)) / 2
x = (7 ± sqrt(29)) / 2
Therefore, the solutions to the equation x^2 - 7x + 5 = 0 are:
x = (7 + sqrt(29)) / 2
x = (7 - sqrt(29)) / 2