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levacccp [35]
3 years ago
5

Solve algebraically: x2 − x ≥ 6.

Mathematics
1 answer:
zhuklara [117]3 years ago
4 0

Answer:

A)  x ≥ 3 and x ≥ -2

The solution of the given equation

 x ≥ 3 and x ≥ -2

Step-by-step explanation:

<u><em>Explanation:-</em></u>

Given that x2 − x ≥ 6.

             ⇒ x² − x - 6.≥ 0

             ⇒ x² - 3 x + 2x -6 ≥ 0

             ⇒ x ( x-3) +2 ( x-3) ≥ 0

             ⇒ ( x -3) ( x+2) ≥ 0

               x -3 ≥ 0 and (x +2) ≥0

                x ≥ 3 and x ≥ -2

<u><em>Final answer</em></u>:-

The solution of the given equation

 x ≥ 3 and x ≥ -2

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