Question

Find the nature of the roots of the quadratic equation
${ \times }^{2} - 2 \sqrt{2x} - 6 = 0$
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Answer 1

Answer :

roots of given quadratic equation :

Ans = X = - 3√2 or X = √2

given quadratic equation

x^2 + 2√2x - 6 = 0

spilitting the middle term , we get

=> x^2+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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