3m² = 3 - 8m
0 = 3m² + 8m - 3
0 = (3m - 1 )(m + 3)
m = -3, 0.33
89/5
Alternative form
1) 17.8
2)17 4/5
To simplify the given radical form, we must recall some properties of exponents as shown below.
1. 1/x⁻ⁿ = xⁿ
2. x¹/² = √x
Now, going back to 1/x⁻³/⁶, we have
1/x⁻³/⁶ = x³/⁶
x³/⁶ = x¹/²
x¹/² = √x
Using the properties provided, we have a simplified form of √x.
<span>Answer: √x</span>
Answer:
x = ±i8/7
Step-by-step explanation:
49x^2 +64 = 0
Subtract 64 from each side
49x^2 +64-64 = 0-64
49x^2 = -64
Divide by 49
49x^2/49 =-64 /49
x^2 = - 64/ 49
Take the square root of each side
sqrt(x^2) = ±sqrt(- 64/ 49)
x = ±sqrt(- 64/ 49)
We know sqrt( ab/c) = sqrt(a) sqrt(b)/sqrt(c)
x = ±sqrt(- 1) sqrt(64)/( 49)
We know that the sqrt(-1) = i
x = ±i8/7