Question

State the nature of the given quadratic equation $(x\sqrt{2}{)}^2+2(x+1)=0$

• A. Real and Distinct roots
• B. Non real roots
• C. Real and equal roots
• D. None of the above

Answer 1

The correct option is B Non real roots

$(x\sqrt{2}{)}^2+2(x+1)=0$
$2x^2+2x+2=0$
$D=4-\left(4\right)\left(2\right)\left(2\right)$
$=4-16$
$=-12$
$D<0$

Therefore roots are non real.