Question

X square + 2 root 2 x minus 6

Answer 1

Answer:
Roots of given quadratic equation :
x = -3√2 Or x = √2
Explanation:
Given quadratic equation :
x²+2√2x-6=0
Splitting the middle term, we get
=> x²+3√2x-√2x-6=0
=> x²+3√2x-√2x-√2×3√2=0
=> x(x+3√2)-√2(x+3√2)=0
=> (x+3√2)(x-√2)=0
=> x+3√2=0 Or x-√2=0
=> x = -3√2 Or x = √2
Therefore,
Roots of given quadratic equation :
x = -3√2 Or x = √2

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