The complete factorization of the equation 81x² - 100 is; (9x - 10)(9x + 10)
<h3>How to factorize quadratic equations?</h3>
We are given the quadratic equation;
81x² - 100
Now, according to quadratic identities, we know that;
(a + b) * (a - b) = a² - b²
Now, our equation can also be expressed as;
81x² - 100 = 9²x² - 10²
Thus, applying the quadratic identity gives us;
(9x + 10)(9x - 10)
Read more about factorization of quadratic equations at; brainly.com/question/1214333
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Answer:
24
Step-by-step explanation:
Given the solution
2 < x ≤ 24
The ≤ symbol means less than or equal to
Thus x can equal 24
At the other end 2 < x which means x cannot equal 2
Thus x = 24 will make the inequality true
Answer:
x = 65
Step-by-step explanation:
To solve the equation, we write it in radical form:
![5\, \sqrt[3]{x-1} = 20](https://tex.z-dn.net/?f=5%5C%2C%20%5Csqrt%5B3%5D%7Bx-1%7D%20%3D%2020)
Then, we divide both sides by 5 to isolate the root:
![\sqrt[3]{x-1} = \frac{20}{5} \\\sqrt[3]{x-1} =4](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7Bx-1%7D%20%3D%20%5Cfrac%7B20%7D%7B5%7D%20%5C%5C%5Csqrt%5B3%5D%7Bx-1%7D%20%3D4)
and next, we raise both sides of the equation to the power 3 so as to free the expression in x from the root:
now we add 1 to both sides to isolate x:
x = 65
Answer:
b. cubic
Step-by-step explanation:
hope this helps :)
Answer: right of the picture
Step-by-step explanation:
