# Mathematics in Our World page 331 - Equation

i need help in solving this two equation step by step x2-2x-3 and x2+12-64 thank you very much

### Comments for Mathematics in Our World page 331 - Equation

 Jun 05, 2011 Solve Equations by: Staff The question: i need help in solving this two equation step by step x2-2x-3 and x2+12-64 thank you very much The answer: Problem 1 x² - 2x - 3 = 0 this problem can be solved easily by factoring the expression x² - 2x - 3 by factoring x² - 2x - 3 = 0 (x - 3)*(x + 1) = 0 (x – 3) = 0 x – 3 = 0 x – 3 + 3 = 0 + 3 x + 0 = 0 + 3 x = 0 + 3 x = 3 (x + 1) = 0 x + 1 = 0 x + 1 - 1 = 0 - 1 x + 0 = 0 - 1 x = 0 – 1 x = - 1 the final solution to x² - 2x - 3 = 0: x = -1, x = 3 check the solution by substituting the values of x into the original equation: for x = -1 x² - 2x - 3 = 0 (-1)² - (2)*(-1) - 3 = 0 1 + 2 - 3 = 0 3 - 3 = 0 0 = 0, OK for x = 3 x² - 2x - 3 = 0 (3)² - (2)*(3) - 3 = 0 9 - 6 - 3 = 0 3 - 3 = 0 0 = 0, OK Problem 2 x² + 12x - 64 = 0 this problem can be solved easily by factoring the expression x² + 12x - 64 by factoring x² + 12x - 64 = 0 (x - 4)*(x + 16) = 0 (x - 4) = 0 x - 4 = 0 x - 4 + 4 = 0 + 4 x + 0 = 0 + 4 x = 0 + 4 x = 4 (x + 16) = 0 x + 16 = 0 x + 16 - 16 = 0 - 16 x + 0 = 0 - 16 x = 0 - 16 x = -16 the final solution to x² + 12x - 64 = 0: x = -16, x = 4 check the solution by substituting the values of x into the original equation: for x = -16 x² + 12x - 64 = 0 (-16)² + (12)*(-16) - 64 = 0 256 - 192 - 64 = 0 64 - 64 = 0 0 = 0, OK for x = 4 x² + 12x - 64 = 0 (4)² + (12)*(4) - 64 = 0 16 + 48 - 64 = 0 64 - 64 = 0 0 = 0, OK Thanks for writing. Staff www.solving-math-problems.com

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