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satela [25.4K]
3 years ago
14

Use the quadratic formula to solve the equation.-3x^2 - x - 3 = 0

Mathematics
1 answer:
vredina [299]3 years ago
8 0

Answer:  -1 ± <em>i</em>√35

                  ⁻⁻⁻⁻⁻⁻⁻⁻

                     6

Step-by-step explanation:

From the quadratic equation,

X =  -b ±√b² - 4ac

     ⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻

             2a

From the given equation, -3x² - x - 3 = 0

where a = -3, b = -1, c = -3

Now substitute for the values in the formula above

x = -(-1) ± √(-1)² - 4(-3)(-3)

      ⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻

                   2(-3)

x = 1 ± √ 1 - 36

     ⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻

           -6

x = 1 ±  √ -35

     ⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻

           -6

x = -1  ±  <em>i√35   this is because it has a negative root.</em>

<em>       ⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻</em>

<em>            6</em>

<em> The answer is b</em>

   

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