Complex Roots

Question

-1

45

1

+1926

Find the solutions to $x^2 + 64 = 4x + 16.$ Enter your answers separated by commas.

tomtom Feb 19, 2024

+1633

+1

Best Answer

Combine like terms: $x^2 - 4x +48 = 0$

Quadratic formula: $x = {4\pm\sqrt{16-4*48}\over2}={4\pm4i\sqrt{11}\over2}=2\pm2\sqrt{11}i$

So, your answers are $2 - 2\sqrt{11}i$ , $2 + 2\sqrt{11}i$

proyaop Feb 19, 2024

proyaop · Answer 1 · 2024-02-19T05:25:29

Combine like terms: $x^2 - 4x +48 = 0$

Quadratic formula: $x = {4\pm\sqrt{16-4*48}\over2}={4\pm4i\sqrt{11}\over2}=2\pm2\sqrt{11}i$

So, your answers are $2 - 2\sqrt{11}i$ , $2 + 2\sqrt{11}i$