Solve the equation. (Enter solutions from smallest to largest. If there is no solution, enter NONE in the answer boxes.)
x2 - 5x + 5 = 0
x =
x =
factor it our use quadratic formula (i would do both so you get practicce in both sicne some polynomial are factorable so oyu will have to know how to use wuad formula)
this isn't factorable so use quad formula which is
-b + or - square root of (b^2 - 4AC) all of that will be divided by 2A
A=1(bc there is a 1 in front of the x^2)
b= -5 (from the -5x)
and C= 5 just plug number into the formula and solve
you should get 2 answers because of the plus or minus in the front of the square root
when you get your two answers plug them into equation x^2 - 5x + 5 and which ever one equals zero will be your answer (they can both equal zero)
Post it.
To solve the equation x^2 - 5x + 5 = 0, we can use the quadratic formula. The quadratic formula states that for an equation in the form ax^2 + bx + c = 0, the solutions can be found using the formula:
x = (-b ± √(b^2 - 4ac)) / (2a)
Comparing this with our equation, we have a = 1, b = -5, and c = 5. Let's substitute these values into the quadratic formula:
x = (5 ± √((-5)^2 - 4*1*5)) / (2*1)
Simplifying the equation within the square root:
x = (5 ± √(25 - 20)) / 2
x = (5 ± √5) / 2
So, the two solutions are:
x = (5 + √5) / 2
x = (5 - √5) / 2
Therefore, the solutions to the equation x^2 - 5x + 5 = 0 are:
x = (5 + √5) / 2 and x = (5 - √5) / 2
So, x = (5 - √5) / 2 is the smaller solution while x = (5 + √5) / 2 is the larger solution.