Mathematics, 04.06.2020 17:58 davidaagurto
Please help me solve this problem ASAP
Luca incorrectly solved the rational equation xβ5β3+x=2x+2 as shown.
Step 1:2xβ5β3=2x+2
Step 2:β6=2x2βxβ10
Step 3:0=2x2βxβ4
Step 4:x=β(β1)Β±(β1)2β4(2)(β4)β2(2)
Step 5:x=14+33β4 or x=14β33β4
Part A: What was Luca's first mistake?
Part B: What are the actual solutions to the rational equation?
Select one answer for Part A, and select all answers that apply to Part B.
A: He combined the terms on the left side of the equation incorrectly in Step 1.
A: He substituted in the quadratic formula incorrectly in Step 4.
A: He used the Distributive Property incorrectly when cross multiplying in Step 2.
A: He simplified the quadratic formula incorrectly in Step 5.
A: He used the Subtraction Property of Equality incorrectly in Step 3.
B: 4
B: β12
B: 12
B: 10
B: β10
B: β4
B: 1
Answers: 3
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Please help me solve this problem ASAP
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