Question

X^2+2√2x+6 find the it's zeros and verify it

Answer 1

$\bf\small\underline\red{Question Correction:-}$

Find the zeros of x2 + 2√2x - 6 a quadratic polynomial and verify the relationship between the zeros and their coefficients.

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Hi there !!

p(x) = x² + 2√2x - 6

We can find the zeros by factorization [ by splitting the middle terms ]

x² + 2√2x - 6

x² + 3√2x - √2x - 6

x [ x + 3√2 ] - √2 [ x+ 3√2]

[ x - √2 ] [ x+ 3√2]

the zeros are = √2 and -3√2

α = √2

β = -3√2

a = 1

b = 2√2

c = -6

Sum of zeros = √2 + -3√2 = -2√2 = -b/a [ -b/a = -2√2 ]

Product of zeros = √2 × -3√2 = - 6 = c/a [c/a = -6/1 = -6]

Hope this helps you !!

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Answer 2

Answer:

-3√2 and √2

Step-by-step explanation:

x^2+2√2x+6

x^2+3√2x-1√2x+6

x(X+3√2)-√2(X+3√2)

(X+3√3)(x-√2)

X=-3√2 or X=√2

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