Question

Ifa and B are the zeros of the polynomial x? – 5x + m such that a-B=1, find m.

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Answer 1

Answer:

Equation = x² -5x + m = 0

And

a - b = 1 ...(1) [here a and b are zeros]

We know

Sum of roots = -b/a

a + b = 5 ....(2)

Now add ..(1) and ...(2)

2a = 6

a = 3 i.e. one of the zero of this equation.

Put this instead of x in above equation.

We get

(3)² -5(3) + m = 0

9 - 15 + m = 0

m = 6

.........Hope this will help you.........