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Use the square roots property to solve the quadratic equation (6d+1)2+12=13. If there are multiple answers, list them separated by a comma, e.g. 1,2. If there is no solution, enter ∅.

Respuesta :

MrRoyal

Answer:

[tex]d = 0[/tex]

Step-by-step explanation:

Given

[tex](6d+1)^2+12=13[/tex]

Required

Solve for d

[tex](6d+1)^2+12=13[/tex]

Collect Like Terms

[tex](6d+1)^2=13 - 12[/tex]

[tex](6d+1)^2=1[/tex]

Using square roots property

[tex]\sqrt{(6d+1)^2}=\sqrt 1[/tex]

[tex]6d+1 = 1[/tex]

Collect Like Terms

[tex]6d = 1 - 1[/tex]

[tex]6d = 0[/tex]

[tex]d = 0/6[/tex]

[tex]d = 0[/tex]

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