Answer:
r = - 7, r = - 5
Step-by-step explanation:
Given
r² = - 12r - 35 ( add 12r to both sides )
r² + 12r = - 35
To complete the square
add ( half the coefficient of the r- term )² to both sides
r² + 2(6)r + 36 = - 35 + 36
(r + 6)² = 1 ← take the square root of both sides )
r + 6 = ± 1 ( subtract 6 from both sides )
r = - 6 ± 1, thus
r = - 6 - 1 = - 7 or r = - 6 + 1 = - 5
Answer:
x=20
Step-by-step explanation:
x-15=5
x=5+15
x=20
If you need to siplify that radical, you should try to put all the numbers as product of prime factors.
922 = 2*461
2 and 461 are prime numbers. Then the transformation of the square root is √(922) = √(2*461) = (√2)(√461)
So you can use that in any expression to try to simpliy with other numbers whose prime factors include 2 and 461.
Isolate the variable on one side of the equation and everything else to the opposite side of the variable.
You can isolate the variable by undoing the operations done to the variable.
For example, if we added 5 to x (x + 5) then we would need to undo that operation. We would need to use the inverse of addition. Which is subtraction.
5x + 6 = 2(2x - 3)
5x + 6 = 4x - 6 <-- Distribute the 2
x + 6 = -6 <-- Subtract 4x from each side
x = -12 <-- Subtract 6 from each side
So, x is equal to -12.
