(x−3)^2+2=8 quadratic

x = 3 ± √6.

or 0.55, 5.45 to the nearest hundredth.

Step-by-step explanation:

(x−3)^2+2=8    

(x - 3)^2  = 8 - 2 = 6

(x - 3)^2 = 6

Taking square roots of both sides:

x - 3 = +/- √6

x = 3 ± √6.

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Given quadratic equation:-

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Simplifying the given equation:-

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1) Simplify both sides of the equation.

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2) Subtract (8) from both sides, we get:

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3) In the equation: (a = 1), (b = -6), (c = 3):

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4) Use quadratic formula:

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2

step-by-step explanation: