Write Each Quadratic Equation In Standard Form,, , Then The Values Of A, B, And C. , 1). , 2. , Please Help Me And Please Show Your Solution. ,

Write each quadratic equation in standard form,

a {x}^{2} + bx + c = 0
Then the values of a, b, and c.

1).
(2x - 1) ^{2} = (x + 1) ^{2}
2.
2x(x + 4) = (x - 3)(x - 3)
Please help me and please show your solution.

Answer:

1)  3x² - 6x = 0  

a = 3; b = -6;  c = 0

2) x² + 14x - 9 = 0  

a = 1; b = 14; c = -9

Step-by-step explanation:

1.)

(2x - 1)² = (x + 1)²

4x² - 2x - 2x + 1 = x² + x + x + 1

4x² - 4x + 1 = x² + 2x + 1

4x² - x² - 4x - 2x + 1 - 1 = 0

3x² - 6x = 0  ⇒  Standard Form

a = 3

b = -6

c = 0

2.)

2x(x + 4) = (x - 3) (x - 3)

2x² + 8x = x² - 3x - 3x + 9

2x² + 8x = x² - 6x + 9

2x² - x² + 8x + 6x - 9 = 0

x² + 14x - 9 = 0  ⇒  Standard Form

a = 1

b = 14

c = -9


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