the The exculed value of rational espression 2² +8 is x²-2x-8
Answers
Answer:
x^2-2x-8=0
when we solve using factor tree method it becomes (x-4) (x+2)
then the value of x is 4 or -2
Step-by-step explanation:
Step-by-step explanation:
2
−
2
−
8
=
0
x^{2}-2x-8=0
Quadratic formula
Factor
1
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}}}
Once in standard form, identify a, b and c from the original equation and plug them into the quadratic formula.
2
−
2
−
8
=
0
x^{2}-2x-8=0
=
1
a={\color{#c92786}{1}}
=
−
2
b={\color{#e8710a}{-2}}
=
−
8
c={\color{#129eaf}{-8}}
=
−
(
−
2
)
±
(
−
2
)
2
−
4
⋅
1
(
−
8
)
√
2
⋅
1
x=\frac{-({\color{#e8710a}{-2}}) \pm \sqrt{({\color{#e8710a}{-2}})^{2}-4 \cdot {\color{#c92786}{1}}({\color{#129eaf}{-8}})}}{2 \cdot {\color{#c92786}{1}}}
2
Simplify
3
Separate the equations
4
Solve
Solution
=
4
=
−
2