52.1k views
3 votes
Explain how to solve 5x^2-3x=25 by completing the square. What are the solutions?

((You'll get 35 points for this))
(I need a good explanation to help me understand this please, thank you)

1 Answer

4 votes

Answer:

5x2 is 10 so you subtract 3 3x like this

5x2=10-3=7-3=4 then find the formula.

Explanation:

We do completing the square as follows:

1. Put all terms with variable on one side and the constants on the other side.

5x^2 - 3x = 25

2. Factor out the coefficient of the x^2 term.

5(x^2 - 3x/5) = 25

3. Inside the parentheses, we add a number that would complete the square and also add this to the other side of the equation. In this case we add 9/100 and on the other side we add 9/20.

5(x^2 - 3x/5 + 9/100) = 25 + 9/20

4. We simplify as follows:

5(x^2 - 3x/5 + 9/100) = 25 + 9/20

5(x - 3/10)^2 = 509/20

(x - 3/10)^2 = 509/100

x1 = √(509) /100 + 3/10

x2 = -√(509) /100 + 3/10

User Gblock
by
7.5k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories