marinasantaballa marinasantaballa

27-04-2022
Mathematics

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(3x-4)^2=22 identify the solutions to the quadratic equation by taking the square root

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loneguy loneguy

27-04-2022

[tex]~~~~(3x-4)^2 = 22\\\\\implies 3x-4 = \pm\sqrt{22}\\\\\implies 3x = 4 \pm\sqrt{22}\\\\\implies x = \dfrac{4\pm \sqrt{22}}3 \\\\\text{Hence,}~~ x = \dfrac{4+ \sqrt{22}}3~~ \text{and}~~ x = \dfrac{4-\sqrt{22}}3[/tex]

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