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29 The correct answer is 3. Applying the distributive property to the left-hand side +1 -56 2+ -56 of the given equation, x^x h , yields x x . Applying the distributive 4 -7 4 2-28 property to the right-hand side of the given equation, x^x h, yields x x. 2+ -56=4 2-28 Thus, the equation becomes x x x x. Combining like terms on the 0= 4 2- 2 + -28 - +56 left- and right-hand sides of this equation yields ^ x x h ^ x xh , 3 2-29 +56=0 2+ + =0 or x x . For a quadratic equation in the form ax bx c , where a, b, and c are constants, the quadratic formula gives the solutions to the =_ - b ! b 2-4 aci -29 56 equation in the form x 2 . Substituting 3 for a, for b, and for a 3 2-29 +56=0 c from the equation x x into the quadratic formula yields x =_ 29! ^ -2 2 9 h3 2-4 ^ 3 h^ 56 hi , or x = 2 6 9!1 6 3 . It follows that the solutions to the given ^ h 29 13 29 13 + - equation are 6 6 and 6 6. Adding these two solutions gives the sum of the 29 13 29 13 29 29 29 + + - + solutions: 6 6 6 6, which is equivalent to 6 6, or 3. Note that 29/3, 9.666, and 9.667 are examples of ways to enter a correct answer. 39 SAT PRACTICE TEST #10 ANSWER EXPLANATIONS