Question

find the solution for 2x² + x + 3 = 0​

Answer 1

Answer:

=

−

±

2

−

4

√

2

x=\frac{-{\color{#e8710a}{b}} \pm \sqrt{{\color{#e8710a}{b}}^{2}-4{\color{#c92786}{a}}{\color{#129eaf}{c}}}}{2{\color{#c92786}{a}}}

x=2a−b±b2−4ac

Once in standard form, identify a, b and c from the original equation and plug them into the quadratic formula.

2

2

+

+

3

=

0

2x^{2}+x+3=0

2x2+x+3=0

=

2

a={\color{#c92786}{2}}

a=2

=

1

b={\color{#e8710a}{1}}

b=1

=

3

c={\color{#129eaf}{3}}

c=3

=

−

1

±

1

2

−

4

⋅

2

⋅

3

√

2

⋅

2

x=\frac{-{\color{#e8710a}{1}} \pm \sqrt{{\color{#e8710a}{1}}^{2}-4 \cdot {\color{#c92786}{2}} \cdot {\color{#129eaf}{3}}}}{2 \cdot {\color{#c92786}{2}}}

x=2⋅2−1±12−4⋅2⋅3

2

Answer 2

see attached file for your answer

have a nice day