Question

if alpha beta are the zeros of P of x is equal to x square - 5 x + c and Alpha minus beta is equal to minus 1 then C is equal to​

Answer 1

Answer:

value of c is 6

Step-by-step explanation:

value of c is 6 and best explanation on given image

Answer 2

ANSWER

• Given
• α , β are the zeroes of the polynomial p( x ) = x² - 5x + C
• α - β = - 1 → α = β - 1
• C = ?

α - β = - 1 ----------------- ( 1 )

α + β = - b/a

α + β = -(-5)/1 = 5 -------- ( 2 )

Adding both the equations

α + β + α - β = 5 - 1

2α = 4

α = 2

→ α = 4/2

→ α = 2

♦ β = 2 - 1

♦ β = 1

x = 2 , 1

Substituting x = 2,1 in x² - 5x + c = 0

Substituting x = 2

→ 2² - 5(2) + c = 0

→ 10 - 4 = c

→ c = 6

Substituting x = 1

→ 1² - 5(1) + c = 0

→ 5 - 1 = c

→ c = 4

Hence, c = 6 , 4