please give me the solution and I will mark you as a brainlist
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Answer :-
The zeroes are -√2 and 3√2 :
Step-by-step explanation :-
p(x) = x² - 2√2x - 6
Factorization by splitting the middle term :
x² - 2√2x - 6
x² - 3√2x + √2x - 6
x(x - 3√2) + √2(x - 3√2)
(x + √2) (x - 3√2) = 0
The zeroes are -√2 and 3√2 :
α = -√2
β = 3√2
a = 1
b = -2√2
c = -6
Sum of zeroes :
α + β = -b/a
-√2 + 3√2 = -(-2√2)/1
2√2 = 2√2
∴ L.H.S = R.H.S
Product of zeroes :
α × β = c/a
-√2 × 3√2 = (-6)/1
3 × -2 = -6
-6 = -6
∴ L.H.S = R.H.S
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