Question

Find the roots of the equation xsqare-4root2x+6=0

Answer 1

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Answer 2

Answer:

$\huge{\boxed{\rm{\red{roots=√2and</p><p>3√2}}}}$

Step-by-step explanation:

Given equation is x²-4√2x+6=0

It can be written as

=>x²-√2x-3√2x+(√2×3√2)=0

=>x(x-√2)-3√2(x-√2)=0

=>(x-√2)(x-3√2)=0

=>x-√2=0 (or) x-3√2=0

=>x=√2 and x=3√2

Roots of the equation are √2 and 3√2