<u>Answer-</u>
![\boxed{\boxed{\frac{7}{3}}}](https://tex.z-dn.net/?f=%5Cboxed%7B%5Cboxed%7B%5Cfrac%7B7%7D%7B3%7D%7D%7D)
<u>Solution-</u>
Rational Root Theorem-
![f(x)=a_nx^n+a_{n-1}x^{n-1}+a_{n-2}x^{n-2}+.......+a_1x+a_0\ \ \ and\ a_n\neq 0](https://tex.z-dn.net/?f=f%28x%29%3Da_nx%5En%2Ba_%7Bn-1%7Dx%5E%7Bn-1%7D%2Ba_%7Bn-2%7Dx%5E%7Bn-2%7D%2B.......%2Ba_1x%2Ba_0%5C%20%5C%20%5C%20and%5C%20a_n%5Cneq%200)
All the potential rational roots are,
![=\pm (\dfrac{\text{factors of}\ a_0}{\text{factors of}\ a_n})](https://tex.z-dn.net/?f=%3D%5Cpm%20%28%5Cdfrac%7B%5Ctext%7Bfactors%20of%7D%5C%20a_0%7D%7B%5Ctext%7Bfactors%20of%7D%5C%20a_n%7D%29)
The given polynomial is,
![f(x) = 9x^8 + 9x^6-12x + 7](https://tex.z-dn.net/?f=f%28x%29%20%3D%209x%5E8%20%2B%209x%5E6-12x%20%2B%207)
Here,
![a_n=9,\ a_0=7\\\\\text{factors of}\ 9=1,3,9\\\\\text{factors of}\ 7=1,7](https://tex.z-dn.net/?f=a_n%3D9%2C%5C%20a_0%3D7%5C%5C%5C%5C%5Ctext%7Bfactors%20of%7D%5C%209%3D1%2C3%2C9%5C%5C%5C%5C%5Ctext%7Bfactors%20of%7D%5C%207%3D1%2C7)
The potential rational roots are,
![=\pm \frac{1}{1},\pm \frac{1}{3}, \pm \frac{1}{9}, \pm \frac{7}{1}, \pm \frac{7}{3}, \pm \frac{7}{9}](https://tex.z-dn.net/?f=%3D%5Cpm%20%5Cfrac%7B1%7D%7B1%7D%2C%5Cpm%20%5Cfrac%7B1%7D%7B3%7D%2C%20%5Cpm%20%5Cfrac%7B1%7D%7B9%7D%2C%20%5Cpm%20%5Cfrac%7B7%7D%7B1%7D%2C%20%5Cpm%20%5Cfrac%7B7%7D%7B3%7D%2C%20%5Cpm%20%5Cfrac%7B7%7D%7B9%7D)
![=\pm 1,\pm \frac{1}{3}, \pm \frac{1}{9}, \pm 7, \pm \frac{7}{3}, \pm \frac{7}{9}](https://tex.z-dn.net/?f=%3D%5Cpm%201%2C%5Cpm%20%5Cfrac%7B1%7D%7B3%7D%2C%20%5Cpm%20%5Cfrac%7B1%7D%7B9%7D%2C%20%5Cpm%207%2C%20%5Cpm%20%5Cfrac%7B7%7D%7B3%7D%2C%20%5Cpm%20%5Cfrac%7B7%7D%7B9%7D)
From, the given options only
satisfies.
Answer:
x = 4
Step-by-step explanation:
Hello!
We can solve for x by expanding the parentheses and isolating x.
<h3>Solve for x</h3>
- 3x - 2(2x - 5) = 2(x + 3)-8
- 3x - 4x + 10 = 2x + 6 - 8
- -x + 10 = 2x - 2
- 10 = 3x - 2
- 12 = 3x
- x = 4
The value of x is 4.
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Answer:
Step-by-step explanation:
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