Question

if 1 zero of 3x²-4x+k is 3 times the other. find the value of k​

Answer 1

HI USER ✌✌

HERE'S YOUR ANSWER ⤵⤵⤵⤵

⭕ALPHA and BETA are the two zeros

SO,

⚫ALPHA=3BETA.....(1)

↪ALPHA+BETA=-b/a

↪3BETA+BETA=-(-4/3)

↪4BETA=+4/3

↪BETA=4/3*4

↪BETA=1/3..(put value in EQ.1)

⚫ ALPHA=3*1/3

⚫ ALPHA=1

SO,

✔ALPHA*BETA=c/a

⚫1*1/3=K/3

⚫1/3=K/3

⚫3K=3

⚫K=3/3

⚫K=1 is the answer

HOPE IT MAY HELPS UH ❤✌