Answer:
a = 1/2 (1 ±sqrt(47))
Step-by-step explanation:
a^2-a+12=0
We will complete the square
Subtract 12 from each side
a^2-a+12-12=0-12
a^2-a=-12
The coefficient of a = -1
-Divide by 2 and then square it
(-1/2) ^2 = 1/4
Add it to each side
a^2 -a +1/4=-12 +1/4
(a-1/2)^2 = -11 3/4
(a-1/2)^2= -47/4
Take the square root of each side
sqrt((a-1/2)^2) =sqrt(-47/4)
a-1/2 = ±i sqrt(1/4) sqrt(47)
a-1/2= ±i/2 sqrt(47)
Add 1/2 to each side
a-1/2+1/2 = 1/2± i/2 sqrt(47)
a = 1/2± i/2 sqrt(47)
a = 1/2 (1 ±sqrt(47))
Answer: The vertical asymptoms are " x = 3" and " x = -3 " .
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The answer is: " x = ± 3 " .
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Explanation:
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The "denominator" cannot equal "0" ; since one cannot "divide by "0" ;
So; set the "denominator" equal to "0" ;
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→ " x² − 9 <span>= 0 " ; Solve for all values of "x" ;
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Add "9" to each side of the equation:
→ x² − 9 + 9 = 0 + 9 ;
to get:
→ x² = 9 ;
Take the square root of each side of the equation;
to isolate "x" on one side of the equation; & to solve for "x" ;
→ √(x²) = √9 ;
→ |x| = 3 ;
→ x = <span>± 3 .
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Answer: The vertical asymptoms are " x = 3" and " x = -3 " .
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The answer is: " x = ± 3 " .
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Answer: 1
1
Step-by-step explanation:
