Question

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

O x=-41 1371
O x=-451
O x=41 1371
O x = 4 + 51

Answer 1

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

I.e option D

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* a* c}}{2* a}`

∴ For equation x² - 8 x + 41 = 0

Or, x =
`\frac{8\pm \sqrt{-8^(2)-4* 1* 41}}{2* 1}`

Or, x =
`(8\pm √(-100))/(2)`

Or, x =
`(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