Examples of solve quadratic equations by factorization, Mathematics

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isbell 2/12/2013 2:20:51 AM try this, these examples will assist you. Solve the following equation via factorization i. 6x² = 18x ii. 15x² + 16x = 15 Solutions i. 6x² = 18x 6x²- 18x = 0 (step 1) 6x(x - 3) = 0 (step 2) 6x = 0 (step 3) And x - 3 = 0 ∴ x = 0 or x = 3 (by step 4) ii. 15x² + 16x = 15 15x² + 16x - 15 = 0 (step 1) (5x - 3) (3x +5) = 0 (step 2) (5x - 3) = 0} Step 3 {3x + 5 = 0} ∴ x = - 5/3 or +3/5 (step 4)

isbell

2/12/2013 2:20:51 AM

try this, these examples will assist you.

Solve the following equation via factorization

i. 6x² = 18x

ii. 15x² + 16x = 15

Solutions

i. 6x² = 18x

6x²- 18x = 0 (step 1)

6x(x - 3) = 0 (step 2)

6x = 0 (step 3)

And x - 3 = 0

∴ x = 0 or x = 3 (by step 4)

ii. 15x² + 16x = 15

15x² + 16x - 15 = 0 (step 1)

(5x - 3) (3x +5) = 0 (step 2)

(5x - 3) = 0} Step 3

{3x + 5 = 0}

∴ x = - 5/3 or +3/5 (step 4)

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