QuestionAugust 10, 2025

Identify the equations from that list that have x=3 as a solution. (Select all that apply.) 6x-1=17 x^2-9 4x^2+10=46 2x-3=x^2-6 none of these

Identify the equations from that list that have x=3 as a solution. (Select all that apply.) 6x-1=17 x^2-9 4x^2+10=46 2x-3=x^2-6 none of these
Identify the equations from that list that have x=3 as a solution. (Select all that apply.) 6x-1=17 x^2-9 4x^2+10=46 2x-3=x^2-6 none of these

Solution
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Answer

6x-1=17, x^{2}-9=0, 4x^{2}+10=46 Explanation 1. Solve 6x-1=17 Substitute x=3: 6(3)-1=17. Calculate: 18-1=17. True. 2. Solve x^{2}-9=0 Substitute x=3: (3)^{2}-9=0. Calculate: 9-9=0. True. 3. Solve 4x^{2}+10=46 Substitute x=3: 4(3)^{2}+10=46. Calculate: 36+10=46. True. 4. Solve 2x-3=x^{2}-6 Substitute x=3: 2(3)-3=(3)^{2}-6. Calculate: 6-3=9-6. False.

Explanation

1. Solve $6x-1=17$<br /> Substitute $x=3$: $6(3)-1=17$. Calculate: $18-1=17$. True.<br />2. Solve $x^{2}-9=0$<br /> Substitute $x=3$: $(3)^{2}-9=0$. Calculate: $9-9=0$. True.<br />3. Solve $4x^{2}+10=46$<br /> Substitute $x=3$: $4(3)^{2}+10=46$. Calculate: $36+10=46$. True.<br />4. Solve $2x-3=x^{2}-6$<br /> Substitute $x=3$: $2(3)-3=(3)^{2}-6$. Calculate: $6-3=9-6$. False.
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