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2 votes
Write the equation in standard form. Show Work!

1. 2(x-3)²=3x+1

2. 2.4x²-3.5x=2.2

3. 6.8x-2=4.2x²

1 Answer

4 votes

Answer:

1.
2x^2-15x+17=0

2.
2.4x^2-3.5x-2.2=0

3.
-4.2x^2+6.8x-2=0

Explanation:

Standard form is written as
ax^2+bx+c=0. To write each equation in standard from:

  • Distribute into any parenthesis
  • Move terms across the equal sign with inverse operations
  • Combine any like terms

1.


2(x-3)^2=3x+1\\\\2(x^2-6x+9)=3x+1\\\\2x^2-12x+18=3x+1\\\\2x^2-15x+17=0

2.


2.4x^2-3.5x=2.2\\\\2.4x^2-3.5x-2.2=0

3.


6.8x - 2 = 4.2x^2\\\\-4.2x^2+6.8x-2=0

User Lukas Lechner
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