Question

pls solve fast
the answer​

Answer 1

option C is your correct answer

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Answer 2

Answer:

b. x² - 10x + 9 = 0

Step-by-step explanation:

let the original equation be ax²+bx+c = 0

let the equation of first student be ax²+bx+c₁ = 0 ---(1)

• roots were 8 and 2

let the equation of second student be ax²+b₁x+c = 0 ---(2)

• roots were -9 and 1

from 1,

sum of roots = -b/a

⇒ -b/a = 8+2

⇒ -b/a = 10 ---(3)

from 2,

product of roots = c/a

⇒ c/a = (-9)(-1)

⇒ c/a = 9 ---(4)

the original equation (ax²+bx+c)

⇒ x² - (sum of roots)x + (product of roots) = 0

⇒ x² - (-b/a)x + (c/a) = 0

⇒ x² - 10x + 9 = 0 [from equation (3) and (4)]