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إذا كان |س + س| = 10، فإن قيمة س تساوي:

Mathematics

ScanSolve AI Answer

Answer

5

Step-by-step solution

4 steps

Assumption: The number "١٤٠" (140) in the question is a typo and should be "١٠" (10) to match one of the provided options.

The question is: إذا كان ∣س+س∣=10|س + س| = 10، فإن قيمة سس تساوي:
(If ∣x+x∣=10|x + x| = 10, then the value of xx is:)

  1. Simplify the expression inside the absolute value.

    س+س=2سس + س = 2س

    The equation becomes:

    ∣2س∣=10|2س| = 10
  2. Solve the absolute value equation.

    The absolute value of 2س2س being 10 means that 2س2س can be either 10 or −10-10.
    Case 1:

    2س=102س = 10

    Case 2:

    2س=−102س = -10
  3. Solve for $س$ in each case.

    Case 1:

    س=102س = \frac{10}{2} س=5س = 5

    Case 2:

    س=−102س = \frac{-10}{2} س=−5س = -5
  4. Compare the solutions with the given options.

    The possible values for سس are 5 and −5-5.
    The given options are:
    1: ٢ (2)
    2: ٣ (3)
    3: ٤ (4)
    4: ٥ (5)

    The value س=5س = 5 matches option 4.

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