Question

3x² + 2x=2

find the value of x​

Answer 1

$\huge{\boxed{\boxed{\red{\ulcorner{\mid{\overline{\underline{\bf{Answer:-}}}}}\mid}}}}$

$\huge\red{ \frac{ - 1 ± \sqrt{5i} }{3}}$

$3 {x}^{2} + 2x = 2. \\ \\ 3 {x}^{2} + 2x - 2.$

Now,

By Quadratic Formula :-

$\rightarrow \: d = {b}^{2} - 4ac. \\ \\ \rightarrow {2}^{2} - 4 \times 3 \times 2. \\ \\ \rightarrow \: 4 - 24. \\ \\ \rightarrow - 20.$

Now we can see d <0

Have unreal roots.

Now try to Find the Value of x.

°•° Let

$\sqrt{ - 1} = i$

A/Q,

$\rightarrow \: \frac{ - b± \sqrt{ {b}^{2} - 4ac } }{2a} . \\ \\ \rightarrow \: \frac{ - 2 ± \sqrt{20i} }{6} . \\ \\ \rightarrow \: \frac{ \cancel 2( - 1 ± \sqrt{5i} )}{ \cancel6} . \\ \\ \rightarrow \: \frac{ - 1± \sqrt{5i} }{3} .$

$<marquee>Follow me$

$<marquee>Mark as Brainliest$