Question 935880
<pre>
{{{matrix(1,15,

The,discriminant,""="",b^2-4ac,""="",4^2-4(7)(5),""="",16-140,""="","-124,",which,is,a,negative,"number.")}}}

Therefore, since the discriminant is what is under the 
             _____
square root &#8730;      in the quadratic formula,

{{{y = (-b +- sqrt( b^2-4ac ))/(2a) }}},
                                               _____  
The negative number -124 being underneath the &#8730; 
will cause there to be an imaginary root, and since
the quadratic equation can be written as

{{{-b/(2a) + sqrt( b^2-4ac ))/(2a) }}}, and {{{-b/(2a) - sqrt( b^2-4ac ))/(2a) }}},

There will be two conjugate imaginary/complex roots, neither of
which is real.  There are no real roots.

Edwin</pre>