Question

How do you factor and solve x^2-6x=-5

Answer 1

Explanation:

You need to bring the -5 to the left side.

x^2-6x+5=0

Wat two numbers, when multiplied equal to +5? Also when added make the middle term or -6? -5 and -1.

(x-1)(x-5) The x^2 would factor to be x*x

So the answer is the (x-1)(x-5)

Answer 2

x = 1, 5

General Formulas and Concepts:

Pre-Algebra

• Equality Properties

Algebra I

• Solving roots of a quadratic
• Factoring
• Standard Form: ax² + bx + c = 0

Explanation:

Step 1: Define equation

x² - 6x = -5

Step 2: Solve for x

1. Rewrite in standard form: x² - 6x + 5 = 0
2. Factor quadratic: (x - 5)(x - 1) = 0
3. Find roots: x = 1, 5

And we have our final answer!