Question

Solve the equation using the quadratic formula x 2 - 6x + 25 = 0

Answer 1

Hello from MrBillDoesMath!

Answer:

x = 3 +\- 4i

Discussion:

Using "standard" quadratic notation with a = 1, b = -6, c = 25

x = ( -b +\- sqrt(b^2 - 4ac) ) /2a

= ( -(-6) +\- sqrt((-6)^2 - 4(1)(25)) ) /2(1)

= ( 6 +\- sqrt (36 - 100))/2

= (6 +\- sqrt(-64) )/2

= (6 +\- 8i) /2 as sqrt (-64) = sqrt(-1 * 8^2)

= 3 +\- 4i

Thank you,

MrB

Answer 2

The answer will not be in terms of real roots. See picture.