Solve 0,5 i - ScanMath

Question

Find the distance

d = 5

Calculate

0, 5 i

Any real number can be written as a complex number with the imaginary part 0

0 + 0 \times i, 5 i

Rewrite the complex number in standard form

0 + 0 \times i, 0 + 5 i

The complex number for a+bi can be represented as an ordered pair (a,b)

(0, 0), (0, 5)

The distance between the points (a,b) and (s,t) in the complex plane is d = (s - a)^{2} + (t - b)^{2}

d = (0 - 0)^{2} + (0 - 5)^{2}

Solution

More Steps

Calculate

(0 - 0)^{2} + (0 - 5)^{2}

Subtract the terms

0^{2} + (0 - 5)^{2}

Calculate

0 + (0 - 5)^{2}

Removing 0 doesn't change the value,so remove it from the expression

0 + (- 5)^{2}

Add the numbers

More Steps

Evaluate

0 + (- 5)^{2}

Simplify

0 + 5^{2}

Removing 0 doesn't change the value,so remove it from the expression

5^{2}

Evaluate the power

25

25

Write the number in exponential form with the base of 5

5^{2}

Reduce the index of the radical and exponent with 2

5

d = 5

Show Solution

Midpoint = (0, \frac{5}{2})

Calculate

0, 5 i

Any real number can be written as a complex number with the imaginary part 0

0 + 0 \times i, 5 i

Rewrite the complex number in standard form

0 + 0 \times i, 0 + 5 i

The complex number for a+bi can be represented as an ordered pair (a,b)

(0, 0), (0, 5)

The midpoint between the points (a,b) and (s,t) in the complex plane is Midpoint= (\frac{a + s}{2}, \frac{b + t}{2})

Midpoint = (\frac{0 + 0}{2}, \frac{0 + 5}{2})

Calculate

More Steps

Calculate

\frac{0 + 0}{2}

Removing 0 doesn't change the value,so remove it from the expression

\frac{0}{2}

Divide the terms

0

Midpoint = (0, \frac{0 + 5}{2})

Solution

Midpoint = (0, \frac{5}{2})

Show Solution