Question

x2+14x+11=0
how many solutions will there be???

Answer 1

help

Answer 2

if that x is sqaured, 2 solutions.

Answer 3

rational, irrational, or imaginary??

Answer 4

You can use the quadratic formula to solve this problem.

The quadratic formula is:

x=[-b+/-square root (b^2-4ac)]/2a

From the equation you get:

a=1
b=14
c=11

x=[-14+/-square root (14^2-4*1*11)]/2(1)
x=[-14+/-square root (196-44)]/2
x=[-14+/-square root (152)]/2
x=[-14+/-square root(4)(38)]/2
x=[-14+/-2*square root (38)]/2
x=-7+/-square root (38)
x=-7+square root (38) and x=-7-square root (38)

Therefore, these are the two solutions to the problem. A rational number is either a decimal that ends or an infinite repeating decimal. Since the square root of 38 is
6.164414003 which is neither an ending decimal nor an infinite repaeating decimal, then this answer involves an irrational number.