Question

Solve for x in the equation X2-8x+41 = 0 -

Answer 1

Answer:

The value of x fro the given equation is ( 4 + 2 i ) , ( 4 - 2 i )

I.e option D  

Step-by-step explanation:

Given equation as :

x² - 8 x + 41 = 0

For quadratic equation  ax² + b x + c = 0

The value of x = $\frac{-b\pm \sqrt{b^{2}-4\times a\times c}}{2\times a}$

∴ For equation x² - 8 x + 41 = 0

Or,                x = $\frac{8\pm \sqrt{-8^{2}-4\times 1\times 41}}{2\times 1}$

Or,                x = $\frac{8\pm \sqrt{-100}}{2}$

Or,                x = $\frac{8\pm 10i}{2}$

∴                  x = ( 4 + 2 i ) , ( 4 - 2 i )

Hence The value of x fro the given equation is ( 4 + 2 i ) , ( 4 - 2 i )

I.e option D     Answer