Question

58. Nirahua's father gave him some money to buy papaya from the market at the rate of plx) = x2 - 232 + 120. Letos are the zeroes of plx). k]
find the value of alpha abd bitta​

Answer 1

SOLUTION

CORRECT QUESTION

Nirahua's father gave him some money to buy papaya from the market at the rate of p(x) = x² - 23x + 120. Let α, β are the zeroes of p(x). Find the value of α and β

EVALUATION

Here the given polynomial is

p(x) = x² - 23x + 120

We now find the zeros of the polynomial

For zero of the polynomial

p(x) = 0

⇒ x² - 23x + 120 = 0

⇒ x² - 15x - 8x + 120 = 0

⇒ ( x - 15 ) ( x - 8 ) = 0

⇒ x = 15 , 8

Since it is given that α and β are the zeroes of p(x)

CASE : 1

When α < β

We have α = 8 , β = 15

CASE : 2

When α > β

We have α = 15 , β = 8

FINAL ANSWER

Hence the required value of α and β is given by as below

• When α > β we have α = 15 , β = 8

• When α < β we have α = 8 , β = 15

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