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Solve the equation x^{2}-15x+52=0x
2
−15x+52=0 to the nearest tenth.

User Hughesdan
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1 Answer

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Answer:

x = {5.4, 9.6}

Explanation:

Adding and subtracting the square of half the x-coefficient can help you complete the square.

(x^2 -15x +7.5^2) +52 -7.5^2 = 0

(x -7.5)^2 = 4.25 . . . . . . add the opposite of the constant; write as a square

x = 7.5 ±√4.25 . . . . . . . square root, add 7.5

x ∈ {5.4, 9.6}

Solve the equation x^{2}-15x+52=0x 2 −15x+52=0 to the nearest tenth.-example-1
User Dror Cohen
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