w^2-11w+30=0
If you have to factor this, start with:
(w )(w )
Then you need two factors that when ADDED together gives you -11, and when multiplied together gives you 30. Can you come up with these factors?
To get the factors, find two numbers that will multiply to get 30 and add to get -11.
I hope this helps a little more. Thanks for asking.
To solve the quadratic equation w^2 - 11w + 30 = 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 for x can be found using the formula:
x = (-b ± √(b^2 - 4ac)) / (2a)
Comparing the given equation to the general form, we can determine that a = 1, b = -11, and c = 30. Plugging these values into the quadratic formula, we can find the solutions for w.
w = (-(-11) ± √((-11)^2 - 4(1)(30))) / (2(1))
w = (11 ± √(121 - 120)) / 2
w = (11 ± √1) / 2
Simplifying further, we have two cases:
Case 1: w = (11 + √1) / 2
w = (11 + 1) / 2
w = 12 / 2
w = 6
Case 2: w = (11 - √1) / 2
w = (11 - 1) / 2
w = 10 / 2
w = 5
Therefore, the solutions to the equation w^2 - 11w + 30 = 0 are w = 6 and w = 5.