n² + 3,n= 2 pa answer po pls
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Answer:
Step-by-step explanation:
2
+
3
=
2
n^{2}+3n=2
n2+3n=2
Quadratic formula
1
Move terms to the left side
2
+
3
=
2
n^{2}+3n=2
n2+3n=2
2
+
3
−
2
=
0
n^{2}+3n-2=0
n2+3n−2=0
2
Use the quadratic formula
=
−
±
2
−
4
√
2
n=\frac{-{\color{#e8710a}{b}} \pm \sqrt{{\color{#e8710a}{b}}^{2}-4{\color{#c92786}{a}}{\color{#129eaf}{c}}}}{2{\color{#c92786}{a}}}
n=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
+
3
−
2
=
0
n^{2}+3n-2=0
n2+3n−2=0
=
1
a={\color{#c92786}{1}}
a=1
=
3
b={\color{#e8710a}{3}}
b=3
=
−
2
c={\color{#129eaf}{-2}}
c=−2
=
−
3
±
3
2
−
4
⋅
1
(
−
2
)
√
2
⋅
1
n=\frac{-{\color{#e8710a}{3}} \pm \sqrt{{\color{#e8710a}{3}}^{2}-4 \cdot {\color{#c92786}{1}}({\color{#129eaf}{-2}})}}{2 \cdot {\color{#c92786}{1}}}
n=2⋅1−3±32−4⋅1(−2)
3
Simplify
Evaluate the exponent
Multiply the numbers
Add the numbers
Multiply the numbers
=
−
3
±
1
7
√
2
n=\frac{-3 \pm \sqrt{17}}{2}
n=2−3±17
2 more steps
Solution
=
−
3
±
1
7
√
2