write a quadratic equation having the given numbers as solutions/roots

Question

the given being x=4 and x= -1/2

Answer 1

(x-4)(x+1/2) = x^2 -4x +x/2 - 2

= x^2 -7x/2 -2

another quadratic with the same roots 4 and -1/2, eliminating the fraction is:

2x^2 -7x - 4