Check whether -√2,-2√2are root of x²+√2x-4=0
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Step-by-step explanation:
By splitting middle term ,
x^2 + √2x - 4 = 0
x^2+ 2√2x -√2x-4 =0. ( 2√2×√2=4)
x(x+ 2√2) - √2(x+2√2) =0
(x-√2) (x + 2√2) =0
x=√2. x=-2√2
Therefore , roots are √2 and -2√2
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