Question

If the sum and the product of the zeroes of the polynomial ax^2 - 5x + c are 10 each ,find a and c

Answer 1

Answer:

sum of zeroes = -b/a. = -(-5)/a. =10

then. ,5=10a

a. = 5/10= 1/2

now product of zeroes. =c/a= 10

c/1/2=. 10..............( putting a=1/2 )

now 2c=10

c=10/2

c. = 5

hope it will help you.

Step-by-step explanation:

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Answer 2

★ Answer :

Sum pf zeroes = -b/a = -(-5)/a = 10 .......(1)

Product of zeroes = c/a = 10 ..........(2)

Using equation (1).

→ 5/a = 10

→ 5 = 10a

→ a = 5/10

→ a = 1/2

Put value of a in equation 2.

→ c/1/2 = 10

→ 2c = 10

→ c = 10/2

→ c = 5

★ Polynomial = 1/2 x² - 5x + 5