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:
Here's a 2 step conversion.
Step-by-step explanation:
1. Convert the fraction to a decimal: Divide the numerator by the denominator
2. Add this decimal number to the whole number part of the mixed number
A mixed number is a whole number plus a fraction. To find the decimal form of a fraction just divide the numerator by the denominator using a calculator or long division. Then add the decimal number to the whole number.
Example: Convert the mixed number 7 1/4 to a decimal
Convert the fraction to a decimal: Divide 1 by 4
1 ÷ 4 = 0.25
Add 0.25 to the whole number 7:
7 + 0.25 = 7.25
Answer:
x= 10
I hope i helped, best of luck!
So first remember the order of operations. Parentheses, exponents, multiply, divide, addition, subtraction.
So we have the following problem.
-(3*2)2+4*3-2
Multiply the three and two inside the parentheses first.
-6*2+4*3-2
Next multiply any numbers that need multiplied.
-12+12-2
Next add and subtract from left to right to get an answer of...
-2
Hope this helps!
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Yes. This is true.