Question 312495
Use the discriminant to determine whether the following equations have solutions that are: two different rational solutions; two different irrational solutions; exactly one rational solution; or two different imaginary solutions.
x^2 + 18x + 58 = 0
a=1, b=18, c=58
discriminant = b^2-4*a*c
{{{ 18^2 - 4*1*58 }}}
{{{ 324 - 232 }}}
{{{ 92 }}}
92 > 0
so 2 different rational solutions