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

9514 1404 393

Answer:

  x = {5.4, 9.6}

Step-by-step 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}

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