Question

if the roots of equation 6x²-13x+m=0 are reciprocal of each other, find the value of m.​

Answer 1

Answer:

m = 6

Step-by-step explanation:

p(x) = 6x²-13x+m

a = 6, b= (-13) and c = m

let the roots be (e) and (f)

According to zero coefficient relation;

e×f = c/a

e × 1/e = c/6 (since roots are reciprocal of each other)

c/6 = 1

c = 6

Answer 2

• Answer:
• m = 6
• Step-by-step explanation:
• 6x²−13x+m=0
• Let one root=α
• Another will be = 1/α
• Product of root= 6m
• α × 1/α = m/6
• or, m=6