if a polynomial is factored and set to zero, as in
(x-a)(x-b)(x-c) = 0
Thane any one of the factors can be zero. In fact, at least one of the factors must be zero.
So, f(x) = 0 when x = a or b or c
So, your quadratics can be factored as
(x - 1/2)(x-(-10) = 0
(x - 1/2)(x+10) = 0
You can clear the fraction by multiplying both sides of the equation by 2, to get
(2x-1)(x+10) = 0
Now just expand that if you want it in the usual quadratic form.
Do the other similarly. What do you get?
Find a quadratic equation that has the numbers below as solutions.
1. 1/2,-10
2. 2/3,-5/7
How do I even do these problems? Those solutions are so hard to find.
4 answers
2/3,-5/7
(x-2/3)(x+5/7) = 0
x^2 + 5/7x - 2/3x - 10/21
x^2 + 1/21x - 10/21
Is this right?
(x-2/3)(x+5/7) = 0
x^2 + 5/7x - 2/3x - 10/21
x^2 + 1/21x - 10/21
Is this right?
ok, but I'd clear the fractions to make it look nicer:
21x^2 + x - 10 = 0
21x^2 + x - 10 = 0
Thank you so much! I never spotted that I could clear the fractions like that :).