x^2+5/3x+2/3=0 plz solve this
Answers
Answer:
Solution
=
−
2
3
=
−
1
Step-by-step explanation:
Combine multiplied terms into a single fraction
2
+
5
3
+
2
3
=
0
2
+
5
3
+
2
3
=
0
Multiply all terms by the same value to eliminate fraction denominators
2
+
5
3
+
2
3
=
0
3
(
2
+
5
3
+
2
3
)
=
3
⋅
0
Simplify
Distribute
Cancel multiplied terms that are in the denominator
Multiply by zero
3
2
+
5
+
2
=
0
Use the quadratic formula
=
−
±
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.
3
2
+
5
+
2
=
0
3x^{2}+5x+2=0
3x2+5x+2=0
=
3
a={\color{#c92786}{3}}
a=3
=
5
b={\color{#e8710a}{5}}
b=5
=
2
c={\color{#129eaf}{2}}
c=2
=
−
5
±
5
2
−
4
⋅
3
⋅
2
√
2
⋅
3
Simplify
Evaluate the exponent
Multiply the numbers
Subtract the numbers
Evaluate the square root
Multiply the numbers
=
−
5
±
1
Separate the equations
To solve for the unknown variable, separate into two equations: one with a plus and the other with a minus.
=
−
5
+
1
6
=
−
5
−
1
6
Solve
Rearrange and isolate the variable to find each solution
=
−
2
3
=
−
1
Answer:
Hi , are you Vaishnavi
Step-by-step explanation:
Hi