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AnnZ [28]
3 years ago
13

What are the solution of x^2-2x+17=0

Mathematics
1 answer:
ddd [48]3 years ago
4 0

Answer:

<h2>x = 1 - 4i or x = 1 + 4i</h2>

Step-by-step explanation:

x^2-2x+17=0\qquad\text{subtract 17 from both sides}\\\\x^2-2x=-17\\\\x^2-2(x)(1)=-17\qquad\text{add}\ 1^2\ \text{to both sides}\\\\x^2-2(x)(1)+1^2=-17+1^2\qquad\text{use}\ (a-b)^2=a^2-2ab+b^2\\\\(x-1)^2=-17+1\\\\(x-1)^2=-16

x-1=-4i\ \vee\ x-1=4i\qquad\text{add 1 to both sides}\\\\x=1-4i\ \vee\ x=1+4i

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