solve by Factorisation
x2 + 5 x + 6 =0
Answers
Answer:
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Step-by-step explanation:
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Answer:
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.
2
+
5
+
6
=
0
x^{2}+5x+6=0
x2+5x+6=0
=
1
a={\color{#c92786}{1}}
a=1
=
5
b={\color{#e8710a}{5}}
b=5
=
6
c={\color{#129eaf}{6}}
c=6
=
−
5
±
5
2
−
4
⋅
1
⋅
6
√
2
⋅
1
x=\frac{-{\color{#e8710a}{5}} \pm \sqrt{{\color{#e8710a}{5}}^{2}-4 \cdot {\color{#c92786}{1}} \cdot {\color{#129eaf}{6}}}}{2 \cdot {\color{#c92786}{1}}}
x=2⋅1−5±52−4⋅1⋅6
2
Simplify
Evaluate the exponent
Multiply the numbers
Subtract the numbers
Evaluate the square root
Multiply the numbers
=
−
5
±
1
2
x=\frac{-5 \pm 1}{2}
x=2−5±1
3
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
2
x=\frac{-5+1}{2}
x=2−5+1
=
−
5
−
1
2
x=\frac{-5-1}{2}
x=2−5−1
4
Solve
Rearrange and isolate the variable to find each solution
=−2
x=-2
x=−2
=−3
x=-3
x=−3
Solution
=−2
=−3