Question

find the value of p for which one zero of the polynomial x2-(p2-4)x+8 is additive inverse of each other​

Answer 1

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P = 2 or -2

Answer 2

Given :- find the value of p for which one zero of the polynomial x2-(p2-4)x+8 is additive inverse of each other ?

Solution :-

→ p(x) = x² - (p² - 4)x + 8

we know that, additive inverse is a number that when added to a given number gives zero .

so,

→ sum of both zeroes = 0

then,

→ sum of zeros = (-b/a)

given that,

• b = -(p² - 4)
• a = 1

therefore,

→ (-b/a) = 0

→ p² - 4/1 = 0

→ p² - 4 = 0

→ p² = 4

→ p = ±2 (Ans.)

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if a²+ab+b²=25

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