Question

verify the relationship between the zeros and their coefficients.
a. x² + 2√2 x-6
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Answer 1

Step-by-step explanation:

x2+2√2x-6

x2+(3√2-√2)x-6

x2+3√2x-√2x-6

x(x+3√2)-√2(x+3√2)

(x-√2) (x+3√2)

x-√2=0

x=0+√2

x=√2

a=√2

x+3√2=0

x=0-3√2

x=-3√2

B=-3√2

RELATIONSHIP

Sum of Zeroes : -b/a

a+B = -2√2/1

√2+(-3√2) = -2√2

√2-3√2=-2√2

-2√2=-2√2

Product of Zeroes : c/a

aB = -6/1

√2×-3√2 =-6

-6 =-6