Using the discriminant to determine the number of roots test questions

1

Determine the nature of the roots of \(y=x^2+8x+5\)

2

Determine the nature of the roots of \(y=x^2-4x+5\)

3

Determine the nature of the roots of \(y=3-7x+{2x}^2\)

4

Determine the nature of the roots of \(y={x}^2+7x-2\)

5

Given that \(kx^{2}+5x-\frac{5}{4}=0\) has equal roots, what is the value of k?