Answer:
x = 1 ±2sqrt(5)
Step-by-step explanation:
2x^2-4x-9=29
Add 9 to each each side
2x^2-4x-9+9=29+9
2x^2-4x=38
Divide by 2
2/2x^2-4/2x=38/8
x^2 -2x =19
Complete the square
x^2 -2x + (-2/2)^2 = 19 +(-2/2)^2
x^2 -2x +1 = 19+1
(x-1)^1=2 = 20
Take the square root of each side
sqrt((x-1)^2) = ±sqrt(20)
x-1 = ±sqrt(20)
Add 1 to each side
x-1+1 = 1 ±sqrt(20)
x = 1 ±sqrt(20)
Simplifying the square root of 20
x = 1 ±sqrt(4)sqrt(5)
x = 1 ±2sqrt(5)
3 and 2/5 turns into 17/5
1 and 1/5 turns into 6/5
17+6= 23
23/5 simplifies to 4 and 3/5
Answer:
(-2,-3) / one solution
Step-by-step explanation:
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Answer:
You can determine this by putting the rational numbers in decimal form.
Step-by-step explanation:
A rational number like 1/2 will have a terminating decimal answer = 0.5
A rational number like 7/11 will have a terminating decimal answer = 0.636 where 36 is repeating.
