Question

find the value of k if x=2 is the solution of kx^2+2x-9=0

Answer 1

if x=2

k(4)+2(2)-9=0

4k+4-9=0

4k=5

k=4/5

Answer 2

kx² + 2x - 9 = 0

Substitute x = 2:

k(2)² + 2(2) - 9 = 0

Evaluate the brackets:

4k + 4 - 9 = 0

Combine like terms:

4x - 5 = 0

Add 5 to both sides:

4x = 5

Divide both sides by 4:

x = 5/4

Answer: k = 5/4