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Ad libitum [116K]
3 years ago
13

Solve the following quadratic equation using the quadratic formula.

Mathematics
2 answers:
lesya692 [45]3 years ago
5 0

Answer:

Step-by-step explanation:

a = 5; b = -8;  c = 5

b² -4ac =  (-8)² - 4 * 5 * 5 = 64 - 100 = (-36) < 0

x = -b ± √(4ac - b²) i / 2a

  =  - (-8) ±√ 4 * 5 * 5 - (-8)² i / 2 *5

  =<u> 8 ± √36 i</u>

        10

= <u>8 ± 6 i </u>

     10

= <u>2 (4 ± 3i)</u>   = <u>4 ± 3i</u>

        10              5

= <u>4 </u>   ± <u>3i</u>

  5        5

x = 4/5 + 3i/5 ;  x = 4/5 - 3i/5

 

TEA [102]3 years ago
4 0

Answer:

Step-by-step explanation:

5x² − 8x + 5 = 0

delta = b²- 4ac        a =5   and b = - 8   and c=5

delta = (-8)²- 4(5)(5) = 64 - 100 = -36 = (6i)²    . i² = -1

x1 = (8-6i)/10 =(4-3i)/5

x2 = (8+6i)/10 =(4+3i)/5

so r=4 and s=3 and t= 5

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Answer:

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Step-by-step explanation:

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ii) The question is therefore essentially asking us to find the roots of the given quadratic equation.

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