The equation for which square method is possible is x²-8=1
Step-by-step explanation:
For checking which of the equation satisfies the complete square condition, we proceed by checking each of the available options
1). x²+20x=52
Rewriting it as x²+20x-52
This binomial expression is not a perfect square since the product of the coefficient of x²(i.e. 1) and independent constant (i.e. 52) is not a perfect square.
2). 5x² + 3x = 9
This equation can be rearranged as 5x²+3x-9=0
This binomial expression is not a perfect square since the product of the coefficient of x²(i.e. 5) and independent constant(i.e. 9) is not a perfect square.
3.) x² −8=1
This equation can be rearranged as x²=9
Hence x= ±3
This binomial expression is a perfect square and can be done by the square method.
4). 3x² −x+17=0
This binomial expression is not a perfect square since the product of the coefficient of x²(i.e. 3) and independent constant(i.e. 17) is not a perfect square.
Answer:
(x-9)(x²+9x+81); it'll give a difference of cubes
Step-by-step explanation:
Generally, the difference of cubes formula is (a³-b³)=(a-b)(a²+ab+b²), and the third option is the only one which fits it; with "a"= x and "b"= 9.
*The sum of cubes formula is (a³+b³)=(a+b)(a²-ab+b²); for future reference.
Answer:
tables and graphs
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
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Answer:
Solution: 
Step-by-step explanation:
System of equation:
Using substitution method.
substitute into
(combine like term)
(Addition property of equality)
(division property of equality)
(Taking square root)
Substitute x into
Solution: 
Now cross check the solution using graph.
Please find attachment for graph.