√(2x)^2+x+√( 2)=0 We will apply discriminant rule, x = b ±√(D)/2a ...(A) where D = b^2 4ac =1^2 4.√(2).√(2) =1 8= 7 from (A) x = ...

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Quadratic Formula for Finding Roots

√2 x 2+ x +√2...

Question

${\sqrt{2 x}}^{2} + x + \sqrt{2} = 0$

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Solution

${\sqrt{2 x}}^{2} + x + \sqrt{2} = 0 We will apply discriminant rule, x = \frac{- b \pm \sqrt{D}}{2 a} . . . (A) w h e r e D = b^{2} - 4 a c = 1^{2} - 4. \sqrt{2} . \sqrt{2} = 1 - 8 = - 7 f r o m (A) x = \frac{- 1 \pm \sqrt{- 7}}{2. \sqrt{2}} T h u s ∴ x = \frac{- 1 \pm \sqrt{7 i}}{2 \sqrt{2}}$

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