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.