transforming quadratic equations into standard form ax

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Jod Vernan R. Velasco Geoffrey Chaucer MATH 1. Transforming Quadratic Equations into standard form ax- 2 +bx+c=0 1. 2x 2 =-6x+10 2x 2 + 6x – 10 = 0 2. 2x 2 = 4x+2 2x² – 4x – 2 = 0 3. 20x 2 =15x+10 20x² –15x – 10 = 0 4. 3x 2 =-4x-2 3x² + 4x + 2 = 0 5. 2x 2 =2x+9 5x² – 2x – 9 = 0 2. Solving Quadratic Equations by factoring a. Common Monomial Factoring 1. x² – 2x = 0 x(x – 2) = 0 x = 0 x - 2 = 0 x = 2 Checking: 2. 2x² – 3x = 0 x(2x - 3) = 0 x = 0 2x - 3 = 0 2x = 3 x = 3/2 Checking:

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Page 1: Transforming Quadratic Equations Into Standard Form Ax

Jod Vernan R. Velasco

Geoffrey Chaucer

MATH

1. Transforming Quadratic Equations into standard form ax2+bx+c=01. 2x2=-6x+10 2x2 + 6x – 10 = 02. 2x2= 4x+2 2x² – 4x – 2 = 03. 20x2=15x+10 20x² –15x – 10 = 04. 3x2=-4x-2 3x² + 4x + 2 = 05. 2x2=2x+9 5x² – 2x – 9 = 0

2. Solving Quadratic Equations by factoringa. Common Monomial Factoring

1. x² – 2x = 0 x(x – 2) = 0

x = 0 x - 2 = 0x = 2

Checking:

2. 2x² – 3x = 0 x(2x - 3) = 0

x = 0 2x - 3 = 02x = 3x = 3/2

Checking:

Page 2: Transforming Quadratic Equations Into Standard Form Ax

b. Difference of two Square1. x2 – 36 = 0 (x + 6)(x – 6) = 0

Checking:

2. x2 – 49 = 0 (x + 7)(x - 7) = 0Checking:

c. Perfect Square Trinomial1. x2 + 10x + 25

(x + 5)(x + 5) = 0

Checking:

2. x2 + 8x + 16

Page 3: Transforming Quadratic Equations Into Standard Form Ax

(x + 4)(x + 4) = 0

Checking:

d. Quadratic Trinommial1. x 2 - 5x - 24 = 0

(x - 8)(x + 3) =0

Checking:

2. 16x 2 – 28x + 6 = 0(4x - 1)(4x - 6) =0

Checking:

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