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15 votes
15 votes
Which numbers are solutions of x^2 + 20 = 9x + 2?

User Lejuan
by
2.8k points

2 Answers

24 votes
24 votes

Answer:

Explanation:

(x-6)(x-3)

x1 =6

x2 = 3

User Sagar Ranpise
by
3.2k points
18 votes
18 votes

Answer:

x = 6 or x = 3

Explanation:

Solve for x over the real numbers:

x^2 + 20 = 9 x + 2

Subtract 9 x + 2 from both sides:

x^2 - 9 x + 18 = 0

The left-hand side factors into a product with two terms:

(x - 6) (x - 3) = 0

Split into two equations:

x - 6 = 0 or x - 3 = 0

Add 6 to both sides:

x = 6 or x - 3 = 0

Add 3 to both sides:

Answer: x = 6 or x = 3

User Anuj Pradhan
by
3.3k points