Solve (-2+i)^2/7i

$$\frac { ( - 2 + i ) ^ { 2 } } { 7 i }$$

Evaluate

$$-\frac{4}{7}-\frac{3}{7}i\approx -0.571428571-0.428571429i$$

Solution Steps

Calculate -2+i to the power of 2 and get 3-4i.

$$\frac{3-4i}{7i}$$

Multiply both numerator and denominator by imaginary unit i.

$$\frac{4+3i}{-7}$$

Divide 4+3i by -7 to get -\frac{4}{7}-\frac{3}{7}i.

$$-\frac{4}{7}-\frac{3}{7}i$$

Real Part

$$-\frac{4}{7} = -0.5714285714285714$$

Solution Steps

Calculate -2+i to the power of 2 and get 3-4i.

$$Re(\frac{3-4i}{7i})$$

Multiply both numerator and denominator of \frac{3-4i}{7i} by imaginary unit i.

$$Re(\frac{4+3i}{-7})$$

Divide 4+3i by -7 to get -\frac{4}{7}-\frac{3}{7}i.

$$Re(-\frac{4}{7}-\frac{3}{7}i)$$

The real part of -\frac{4}{7}-\frac{3}{7}i is -\frac{4}{7}.

$$-\frac{4}{7}$$