Question

What is the discriminant of: x2−4x+10=0?

Answer 1

Given the equation

${x}^{2} - 4x + 10 = 0 \\ \\ discriminant \: \\ d = {b}^{2} - 4ac \\ \\ \ \: \: = { (- 4)}^{2} - 4 \times 1 \times 10 \\ \\ \: \: \: = 16 - 40 \\ \\ \: \: \: = - 24$

The discriminate is -24 of the equation.

So the roots of the equation are not real .

They will be imaginary