write a quadratic equation having the given numbers as solutions.
-4 and -1
thank you
(x+4)(x+1)=0
multiply the left side out.
To write a quadratic equation having -4 and -1 as solutions, you can use the factored form of a quadratic equation.
The factored form of a quadratic equation is given by:
(x - r1)(x - r2) = 0
where r1 and r2 are the two solutions.
In this case, the solutions are -4 and -1, so the factored form of the quadratic equation would be:
(x - (-4))(x - (-1)) = 0
(x + 4)(x + 1) = 0
Now, we can expand the equation to get the standard form of the quadratic equation:
x^2 + 4x + x + 4 = 0
x^2 + 5x + 4 = 0
So, the quadratic equation with -4 and -1 as solutions is:
x^2 + 5x + 4 = 0