Question

formula method 1) x² + x-1/3 = 0​

Answer 1

Step-by-step explanation:

X²+(x-1)/3=0

3X²+X-1/3=0

3X²+X-1=0

Answer 2

★ x² + x - 1/3 = 0

Here,

• a = 1
• b = 1
• c = $\bold{\frac{1}{3}}$

Now ,

$\large \bold{ \: \: \: x \: = \frac{ - b ± \sqrt{ {b}^{2} - 4ca} }{2a} }$

$\bold{ \implies \: x = \frac{ - 1± \sqrt{ {1}^{2} - 4 \times \frac{1}{3} \times 1} }{2 \times 1} }$

$\bold{ \implies \: x = \frac{ - 1± \sqrt{ {1} - \frac{4}{3} } }{2} }$

$\bold{ \implies \: x = \frac{ - 1± \sqrt{ \frac{3 - 4}{3} } }{2} }$

$\bold{ \implies \: x = \frac{ - 1± \sqrt{ \frac{ - 1}{3} } }{2} }$

$\bold{ \implies \: x = \frac{ - 1± \: i\sqrt{ \frac{ 1}{3} } }{2} }$

$\bold{ \implies \: x = \frac{ - 1}{2}± \: i \frac{ \sqrt{ \frac{ 1}{3} } }{2} }$