What is the square root of -1?

If you work with real numbers then the square root of - 1 CANNOT be defined.

If you work with complex numbers then the square root of - 1 is equal to the imaginary unit(which is symbolized as i)

square root of -1 = i

Step-by-step explanation:

the imaginary Unit number is a solution to the quadratic equation x^{2}+1=0. basically any number times itself is a positive number or zero so you can't ever get to a negative number by squaring. Since square roots undo squaring, negative numbers can't have square roots.

3< x< 5

step-by-step explanation:

|x - 4| < 1

there are two solutions, one positive and one negative.   remember to flip the inequality when taking the negative solution

x-4 < 1       x-4 > -1

add 4 to each side

x-4+4 < 1+4       x-4+4 > -1+4

x< 5                 x> 3

3< x< 5

problem:

f(x) = - 2/3x + 5; f(5/2)

substitute 5/2 in for x:

f(5/2) = -2/3(5/2) + 5

simplify the right side:

f(5/2) = -5/3 + 5

f(5/2) = 10/3

f(5/2) = 10/3

i hope this !