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Sedaia [141]
2 years ago
10

What are the roots of this quadratic equation?-10x^2+12x-9=0

Mathematics
1 answer:
Ugo [173]2 years ago
7 0

Answer:

Step-by-step explanation:

-10x² + 12x - 9 = 0

Multiply the whole equation by (-1)

10x² - 12x + 9 = 0

a = 10  ; b = -12 ; c = 9

D = b² - 4ac = (-12)² - 4*10*9

   = 144 - 360

    = -216

√D = √-216 = \sqrt{2*2 * 3 * 3 * 2 *3 * i^{2}}

       = 2*3*i*\sqrt{3*2}\\\\= 6i \sqrt{6}

Roots = \frac{-b + \sqrt{D}}{2a} ; \frac{-b-\sqrt{D}}{2a}

          = \dfrac{-[-12]+6i\sqrt{6}}{2*10} \ ; \  \dfrac{-[-12] - 6i\sqrt{6}}{2*10}\\\\= \dfrac{12+6i\sqrt{6}}{20} ; \ \dfrac{12-6i\sqrt{6}}{20}\\\\\\= \dfrac{2*(6+3i\sqrt{6}}{20} ; \ \dfrac{2*(6-3i\sqrt{6}}{20}\\\\=\dfrac{6+3i\sqrt{6}}{10} ; \dfrac{6-3i\sqrt{6}}{10}

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ratelena [41]

Answer:

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7 0
3 years ago
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3 years ago
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STatiana [176]
48
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6 0
3 years ago
Which of the following is equivalent to 5 to the power of 3 + 1 to the power of 3
larisa [96]
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8 0
3 years ago
Jan won 51.9% of the votes in the race for school secretary. She received 415 votes. About how many students are in the school?
slava [35]
Mental way:
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x = 800 students
7 0
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