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navik [9.2K]
2 years ago
10

Solve the equation x^2 – 4x – 31=-2x + 25 to the nearest tenth.

Mathematics
2 answers:
Montano1993 [528]2 years ago
8 0

Answer:

  x = -6.5, x = 8.5

Step-by-step explanation:

The given equation ...

  x^2 -4x -31 = -2x +25

can be rewritten to a form that facilitates completing the square:

  x^2 -2x = 56 . . . . . add 2x+31

  x^2 -2x +1 = 57 . . . add 1 to complete the square

  (x -1)^2 = 57 . . . . . write the left side as a square

  x -1 = ±√57 . . . . . take the square root

  x = 1 ±√57 ≈ {-6.5, 8.5} . . . . . add 1, evaluate

Solutions are near x = -6.5 and x = 8.5.

tankabanditka [31]2 years ago
6 0

Answer:

x=1+sqr57,1-sqr57

Step-by-step explanation:

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erastova [34]

Answer:

The Answer is P = (-2.5 , 1 )

Step-by-step explanation:

Let, the point is P(x,y)

then, x=\frac{m_{1}x_{2}+ m_{2}x_{1}}{m_{1}+m_{2}}

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