Answer:
Step-by-step explanation:
Givens
(x - 1)(6x - 5) = 0
Solution
Either one of these can be made into 0 by solving the binomials in the brackets.
x - 2 = 0 Add 2 to both sides
x -2 +2= 0+2 Combine
x = 2
6x - 5 = 0 Add 5
6x -5+5 = 0+5 Combine
6x = 5 Divide by 6
6x/6=5/6
x = 5/6
Answer
Integer Answer: x = 2
Fractional Answer x = 5/6
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The expression can be solved by expanding the bracket and multiplying out the terms


Therefore, the expression can be simplified as;

Alternatively, using the theorem of difference of two squares, which is

Hence,

Write the coeeficientes of the polynomial in order:
| 1 - 5 6 - 30
|
|
|
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After some trials you probe with 5
| 1 - 5 6 - 30
|
|
5 | 5 0 30
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1 0 6 0 <---- residue
Given that the residue is 0, 5 is a root.
The quotient is x^2 + 6 = 0, which does not have a real root.
Therefore, 5 is the only root. You can prove it by solving the polynomial x^2 + 6 = 0.
If you would like to solve 1/4 * 4/7, you can do this using the following steps:
<span>1/4 * 4/7 = (1 * 4) / (4 * 7) = 4/28 = 1/7
</span>
The correct result would be 1/7.