An equation is given.
x² + 9 = 6x What is one solution to the equation?
To solve this quadratic equation:
 move all terms to one side {getting in standard form}  factor the expression into two binomials  set each factor equal to zero {unless the two factors are the same, then just set one equal to zero}  solve the equation(s) x² + 9 = 6x x²  6x + 9 = 0 {subtracted 6x from each side, getting into standard form, ax² + bx + c = 0} (x  3)(x  3) = 0 {factored the expression into two binomials} x  3 = 0 {normally you would set each factor equal to zero, but these two are the same} x = 3 {solved the equation for x} Ask Algebra House
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