Question

If a and b are zeros of the polynomial x^2-5x+m and a-b=1 then m =?

Answer 1

Answer:

If a and b are zeros of the polynomial x^2-5x+m and a-b=1 then m = 6.

Step-by-step explanation:

If a and b are the zeroes of x² - 5x + m, means,

a + b = sum of roots = - co. eff. of x = 5

Thus, a + b = 5 and a - b = 1

Adding both,

→ ( a + b ) + ( a - b ) = 5 + 1

→ a + b + a - b = 6

→ 2a = 6

→ a = 3

Hence,

→ a + b = 5

→ 3 + b = 5

→ b = 2

In x² - 5x + m, m is product of roots, so

ab = m

→ 2 * 3 = m

→ 6 = m