Question

What are the solutions of x^2 - 5x+7 = 0 ?​

Answer 1

Answer:

C.

Step-by-step explanation:

We use the Quadractic Formula: $x = \frac{-b +/-\sqrt{b^2-4ac} }{2a}$

*Excuse the bad ± (plus or minus) sign. It wouldn't let me put it in the equation maker

a = 1

b = -5

c = 7

Step 1: Plug in our variables

$\frac{5+/-\sqrt{5^2-4(1)(7)} }{2(1)}$

Step 2: Solve

$\frac{5+/-\sqrt{25-28} }{2}$

$\frac{5+/-\sqrt{-3} }{2}$

√-3 is equal to √-1 times √3, and √-1 is equal to imaginary i

Thus, we have:

(5 ± i√3)/2 or (5 + i√3)/2 and (5 - i√3)/2