Question

Write the equation x^2 - 10x + 17 = 0 in the form (x+p)^2 = q (50 points!)

Answer 1

(x - 5)² = 8

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Given

Expression x² - 10x +17.

Convert this to vertex form by completing the square.

Recall identity (a ± b)² = a² ± 2ab + b² and apply as given below:

x² - 10x + 17 =

x² - 2*5*x + 5² - 5² + 17 =

(x - 5)² - 25 + 17 = (x - 5)² - 8

(x - 5)² = 8

Answer 2

Answer: (x-5)²=8

Explanation:

x²-10x+17=0

x²-2(x)(5)+5²-5²+17=0

(x²-2(x)(5)+5²)-25+17=0

(x-5)²-8=0

(x-5)²-8+8=0+8

(x-5)²=8