Solve 2x^2+ 2x+2 =0 - Vidyadip

MCQ

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

✓
$\frac{-1\pm\text{i}\sqrt{7}}{2\sqrt{2}}$
B
$\frac{1\pm\text{i}\sqrt{7}}{2\sqrt{2}}$
C
$\frac{1\pm\sqrt{7}}{2\sqrt{2}}$
D
$\frac{-1\pm\sqrt{7}}{2\sqrt{2}}$

✓

Answer

Correct option: A.

$\frac{-1\pm\text{i}\sqrt{7}}{2\sqrt{2}}$

$2\text{x}^2+\sqrt{2\text{x}+2}=0$
$\Rightarrow\text{D}=(\sqrt{2})^2-4.2.2=2-16=-14$
Since $\text{D}\leq0,$ imaginary roots are there.
$\Rightarrow\text{x}=\frac{-\sqrt{2\pm}\sqrt{\text{D}}}{2.2}=\frac{-\sqrt{2\pm\text{i}}\sqrt{\text{D}}}{2.2}=\frac{-1\pm\text{i}\sqrt{7}}{2\sqrt{2}}$

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