Question

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

Answer 1

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`