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Attempt following question by selecting a choice to answer. f
Solve 3x + 1 = x  4 + 3.f fA. f8 and 5 B. f0 C. fno solution D. f1 and 4
f
A
Step 1: 3x + 1 = x  4 + 3
Step 2: (3x + 1)2 = (x  4 + 3)2[Square each side of the equation.]
Step 3: 3x + 1 = (x  4)2 + 6(x  4) + 9[(a + b)^{2} = a^{2} + 2ab + b^{2}.]
Step 4: 3x + 1 = x  4 + 6x  4 + 9
Step 5: 2x  4 = 6x  4
Step 6: x  2 = 3x  4[Divide with 2.]
Step 7: (x  2)^{2} = (3x  4)2 [Square each side of the equation.]
Step 8: x^{2}  4x + 4 = 9(x  4)[( a  b)^{2} = a^{2}  2 ab + b^{2}.]
Step 9: x^{2}  13x + 40 = 0[Simplify.]
Step 10: (x  8)(x  5) = 0[Factor.]
Step 11: x = 8 or x = 5[Solve for x.]
Step 12: The solutions are 8 and 5.

