Question

Use the discriminant to determine all values of k which would result in the graph of
the equation y = x2 + 20x + k not intersecting the x-axis.

Answer 1

Answer:

k > 100

Step-by-step explanation:

y= x²+20x+k

if the graph doesn't intersect the x-axis it means it has no real roots so the discriminat has to be negative so will have imaginary roots

discriminant is

b²-4ac = 20²-4*1*k = 400-4k for this to be negative k has to be more then 100 so will have 400 - a number bigger then 400

k > 100 is the solution