Question

HELP!!!! DUE IN AN HOUR: Let $m$ and $n$ be the solutions of the quadratic equation $4x^2 + 5x + 3 = 0$. Find $(m + 7)(n + 7)$.

Answer 1

1. Consider the quadratic equation
`4 x^(2)+5x+3=0`

a=4, b=5, c=3

the discriminant
`D= b^(2)-4ac= 5^(2)-4*4*3=25-48=-23` <0

D<0 so there are no real solutions to the equation.