Write a quadratic equation having the given number as solutions -7 and -4
I cant think of how to do this?
(x+7)(x+4)=0
Check that -7 and -4 are solutions.
To write a quadratic equation with the given solutions, you can use the fact that the solutions represent the values of x where the equation equals zero.
In this case, the solutions are -7 and -4. Therefore, we can set up two equations:
(x + 7) = 0 and (x + 4) = 0
To find the quadratic equation, we need to multiply these two factors together:
(x + 7)(x + 4) = 0
To expand this, you can use the FOIL method (First, Outer, Inner, Last):
x * x + x * 4 + 7 * x + 7 * 4 = 0
Simplifying further, we get:
x^2 + 4x + 7x + 28 = 0
Combining like terms, the final quadratic equation is:
x^2 + 11x + 28 = 0
So, the quadratic equation with -7 and -4 as solutions is x^2 + 11x + 28 = 0.