Determine the values of k for which the equation has no real roots, then write the possible equation 2x {}^(2) - 3x + k = 0​

Question

Determine the values of k for which the equation has no real roots, then write the possible equation


`2x {}^(2) - 3x + k = 0`​

Answer 1

values of k is k>9/8

Explanation:

for an equation to have no real roots,

b^2 - 4ac <0

therefore (-3)^2-4(2)(k)<0

9-8k<0

9<8k

k>9/8