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 = [tex]\frac{-b\pm \sqrt{b^{2}-4\times a\times c}}{2\times a}[/tex]
∴ For equation x² - 8 x + 41 = 0
Or, x = [tex]\frac{8\pm \sqrt{-8^{2}-4\times 1\times 41}}{2\times 1}[/tex]
Or, x = [tex]\frac{8\pm \sqrt{-100}}{2}[/tex]
Or, x = [tex]\frac{8\pm 10i}{2}[/tex]
∴ 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