How to simplify quadratic equations? Answer: You can use three ways: ▪ Completing the Square ▪By Factoring ▪Using the formula⬆ Factoring: ▪Combine all of the like terms and move them to one side of the equation. 2x^2-8x-4=3x-x^2 ➡ 2x^2 + x^2 - 8x -3x -4 = 0 ➡ 3x^2 - 11x -4=0 ▪Factor the expression. 3x^2 - 11x -4=0 ➡ (3x + 1)(x-4)=0 3x + 1 = 0 ; x - 4 = 0 ○Set each set of parenthesis equal to zero as separate equations. ▪Solve each "zeroed" equation independently 3x + 1 = 0 ; x - 4 = 0 3x + 1 = 0 ; x - 4 =0 3x = -1 ; x = 4 X = -1/3 ▪Substitute the 2 values ○Check x = -1/3 in (3x + 1)(x – 4) = 0: (3-1/3 + 1)(-1/3 – 4) = 0 (-1 + 1)(-4 1/3) 0 0=0 ○ Check x = 4 in (3x + 1)(x - 4) = 0: (34 + 1)(4 – 4) = 0 (13)(0) = 0 0=0 ◆ So, both solutions do "check" separately, and both are verified as working and correct for two different solutions. Using the Quadratic Formula: (The formula was attached to my answer to your question all you need to do is substiture the value...
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