An equation is shown.
16x² + 10x  27 = 6x + 5 What are the solutions to the equation?
Get all terms to one side of the equation, with zero on the other side of the equal sign.
16x² + 10x  27 = 6x + 5 16x² + 16x  32 = 0 {added 6x and subtracted 5 from each side} 16(x² + x  2) = 0 {factored out the common factor of 16} x² + x  2 = 0 {divided each side by 16} (x + 2)(x  1) = 0 {factored into two binomials...1st terms are x....2nd terms multiplied to get 2 and added to get 1} x + 2 = 0 or x  1 = 0 {since those factors multiplied to equal zero, either one could be zero} x = 2 or x = 1 {solved each equation for x} Ask Algebra House The graph of a quadratic equation is a parabola. When you solve a quadratic equation for x, you are finding the xintercepts (where the graph crosses the xaxis). There are different ways to solve a quadratic equation, such as, by factoring (as shown above), completing the square, using the quadratic formula, and by using a graphing calculator. Comments are closed.

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