write a quadratic equation having the given numbers as solutions. -6 and -4
Not sure how this is to be written into an equation. Please help. Thank you
x = -6
x+6 = 0
x = -4
x+4 = 0
Y = (x+6)(x+4) = 0
Y = x^2 + 4x + 6x + 24 = 0
Y = x^2 + 10x + 24 = 0
To write a quadratic equation with the given solutions, you can use the fact that if "a" and "b" are the solutions to a quadratic equation, then the equation can be written as (x - a)(x - b) = 0.
In this case, the given solutions are -6 and -4. Therefore, the quadratic equation can be written as (x - (-6))(x - (-4)) = 0.
Simplifying this equation, we get (x + 6)(x + 4) = 0.
Expanding the equation further, we get x^2 + 10x + 24 = 0.
So, the quadratic equation with the given solutions -6 and -4 is x^2 + 10x + 24 = 0.