Question 1155369
 Work backwards to write a quadratic equation that will have solutions of x = -1/2 and x = 4.  (Your equation must only have integer coefficients, meaning no fractions or decimals.)
13.   Write a quadratic equation that will have a solution of only x = 0. Note: this means there will be a double solution of x = 0.
 
y = x^2
 
14.   Write a quadratic equation that cannot be factored.
 
y = x^2 + 1
 
15.   The product of two consecutive positive integers is 72. Find the integers.
 
Two consecutive positive integers are 8 and 9 both have a product of 72.
Solution 
12
x=1/2 and x+4
factors will be 2x-1 and another x-4
equation will be  (2x-1)(x-4)=2x^2-9x+4=0
13. first factors and second factors are x 
quadratic equation  x*x=x^2
14. X^2+1 is correct  this can not be factories for real factors but can be factories for    imaginary or non real factors 
15. let consecutive integers are  X+1 and X 
(x)(X+!)=72
X^2+x-72=0  the factors will be (x-9)(X-8)=0
integers will be 9 and 8