Answer
Sometimes true. Two equations are $10x^2+5x+1=0$ and $2x^2+4x+2=0$
Work Step by Step
One example of an equation without two solutions is $2x^2+4x+2=0$
The determinant is as follows:
$b^2-4ac$
$4^2-4*2*2$
$16-8*2$
$16-16$
$0$
Since this determinant is zero, there is exactly one real solution for the equation.
Another equation without two solutions is $10x^2+5x+1=0$
The determinant is as follows:
$b^2-4ac$
$5^2-4*10*1$
$25-40$
$-15$
Since this determinant is less than zero, there are no real solutions for the equation.
