Question

for what value of K one root of the equation 2x²-3x+K=0 will be zero

Answer 1

Answer:

K = 0

Step-by-step explanation:

"Zero is a root of the equation" just means that when you put x=0, then the value of the expression on the left will be 0.

[ In general, "a number R is a root" means that when you put x=R, then the expression is equal to 0. ]

When we put x = 0 into the given expression, we get

2×0² - 3×0 + K  =  0 - 0 + K  = K.

For 0 to be a root, we need this result to be 0, so we need K=0.

Answer 2

Answer:

Step-by-step explanation:

If x = 0

2x² - 3x + K = 0

2(0) - 3(0) + K = 0

k = 0