Question

Evaluate the discriminant of 25x2 + 350x + 49 = 0. Tell how many solutions the equation has and whether the solutions are real or imaginar

Answer 1

Compare your quadratic equation with \(ax^2+bx+c=0\)

find \[a=...?\\b=...?\\c=...?\\\]

Answer 2

discriminant
\(D = b^2-4ac = ...\)

Answer 3

if D <0
roots are NOT real, imaginary

if D>0 , roots are real.

If D is a perfect square, roots are rational.

If D = 0, roots are equal