Write a quadratic equation with integer coefficients and the given numbers as solutions.
1. 2 and 5
2. 0 and 5
3. -3/4 and 2
4. 1/2 and 1/3

1.)  f(x) = x*x - 7x + 10

2.) f(x) = x*x - 5x

3.) f(x) = 4*x*x - 5x - 6

4.) f(x) = 6*x*x -5x + 1

Step-by-step explanation:

1.)  2 and 5     (x -2)(x - 5) = f(x)  =  x*x - 7x + 10

2.)  0 and 5     f(x) = x*(x -5) =  x*x - 5x

3.) -3/4  and 2     (x + 3/4)(x -2) = x*x - (5/4) x - 3/2,

 need integers   f(x) = 4xx - 5x - 6

4.) 1/2  and 1/3    (x - 1/2)(x - 1/3) = f(x)

 x*x  - 1/3 x  - 1/2 x +  1/6  

xx  -  5/6  x  + 1/6

6 xx - 5x  + 1