give the solution of 8m²+23m+40=0
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give the solution of 8m²+23m+40=0
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Answer:
How to solve your problem
8
2
+
2
3
+
4
0
=
0
8m^{2}+23m+40=0
8m2+23m+40=0
Quadratic formula
1
Use the quadratic formula
=
−
±
2
−
4
√
2
m=\frac{-{\color{#e8710a}{b}} \pm \sqrt{{\color{#e8710a}{b}}^{2}-4{\color{#c92786}{a}}{\color{#129eaf}{c}}}}{2{\color{#c92786}{a}}}
m=2a−b±b2−4ac
Once in standard form, identify a, b and c from the original equation and plug them into the quadratic formula.
8
2
+
2
3
+
4
0
=
0
8m^{2}+23m+40=0
8m2+23m+40=0
=
8
a={\color{#c92786}{8}}
a=8
=
2
3
b={\color{#e8710a}{23}}
b=23
=
4
0
c={\color{#129eaf}{40}}
c=40
=
−
2
3
±
2
3
2
−
4
⋅
8
⋅
4
0
√
2
⋅
8
m=\frac{-{\color{#e8710a}{23}} \pm \sqrt{{\color{#e8710a}{23}}^{2}-4 \cdot {\color{#c92786}{8}} \cdot {\color{#129eaf}{40}}}}{2 \cdot {\color{#c92786}{8}}}
m=2⋅8−23±232−4⋅8⋅40