Answer:
The root of x = -2 + √2
Step-by-step explanation:
<u><em> Step(i):-</em></u>
Given 
⇒ 
⇒ 
⇒ 
<u><em>Step(ii):-</em></u>
Rationalizing

Apply ( a-b ) ( a+b) = a²-b²

The root of x = -2 + √2
What would you like me to draw and label?
Answer:
The student made the error at step 2.
Step-by-step explanation:
The correct step will be:
Step 2; 6x − 12 = 14 + 2x
As 3 will be multiplied with 2x and 4 which will give 6x − 12
![\bf \begin{array}{|cl|ll} \cline{1-2} term&value\\ \cline{1-2} f(1)&\\ f(2)&\\ f(3)&7\\ f(4)&7r\\ f(5)&7rr\\ &252\\ \cline{1-2} \end{array}\qquad \qquad 7rr=252\implies 7r^2=252\implies r^2=\cfrac{252}{7} \\\\\\ r^2=36\implies r=\sqrt{36}\implies r=6 \\\\[-0.35em] ~\dotfill\\\\ \begin{array}{|cl|ll} \cline{1-2} term&value\\ \cline{1-2} f(1)&\stackrel{\frac{7}{6}\div 6}{\cfrac{7}{36}}\\ &\\ f(2)&\stackrel{7\div 6}{\cfrac{7}{6}}\\ &\\ f(3)&7\\ f(4)&42\\ f(5)&252\\ f(6)&1512\\ \cline{1-2} \end{array}](https://tex.z-dn.net/?f=%5Cbf%20%5Cbegin%7Barray%7D%7B%7Ccl%7Cll%7D%20%5Ccline%7B1-2%7D%20term%26value%5C%5C%20%5Ccline%7B1-2%7D%20f%281%29%26%5C%5C%20f%282%29%26%5C%5C%20f%283%29%267%5C%5C%20f%284%29%267r%5C%5C%20f%285%29%267rr%5C%5C%20%26252%5C%5C%20%5Ccline%7B1-2%7D%20%5Cend%7Barray%7D%5Cqquad%20%5Cqquad%207rr%3D252%5Cimplies%207r%5E2%3D252%5Cimplies%20r%5E2%3D%5Ccfrac%7B252%7D%7B7%7D%20%5C%5C%5C%5C%5C%5C%20r%5E2%3D36%5Cimplies%20r%3D%5Csqrt%7B36%7D%5Cimplies%20r%3D6%20%5C%5C%5C%5C%5B-0.35em%5D%20~%5Cdotfill%5C%5C%5C%5C%20%5Cbegin%7Barray%7D%7B%7Ccl%7Cll%7D%20%5Ccline%7B1-2%7D%20term%26value%5C%5C%20%5Ccline%7B1-2%7D%20f%281%29%26%5Cstackrel%7B%5Cfrac%7B7%7D%7B6%7D%5Cdiv%206%7D%7B%5Ccfrac%7B7%7D%7B36%7D%7D%5C%5C%20%26%5C%5C%20f%282%29%26%5Cstackrel%7B7%5Cdiv%206%7D%7B%5Ccfrac%7B7%7D%7B6%7D%7D%5C%5C%20%26%5C%5C%20f%283%29%267%5C%5C%20f%284%29%2642%5C%5C%20f%285%29%26252%5C%5C%20f%286%29%261512%5C%5C%20%5Ccline%7B1-2%7D%20%5Cend%7Barray%7D)
notice, once we know what the common factor "r" is, from the 3rd term we can simply multiply it by "r" to get the next term, and divide the 3rd term by "r" in order to get the previous term, namely the 2nd term, and then divide the 2nd by "r" to get the 1st one.
Answer:
Rachel earns per hour is $ 13.64 .
Step-by-step explanation:
As given
Rachel earned $85.25 for working
hours.
i.e
Rachel earned $85.25 for working
hours.
Now calculate earning of Rachel for 1 hour .





Therefore Rachel earns per hour is $ 13.64 .