Question

Please help serious answers only

Answer 1

Answer:

#4          x = 3 ± i√31

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Step-by-step explanation:

Solve by completing the square

  x² - 3x + 10 = 0    

  x² - 3x       =  -10

 x² - 3x + 9/4  =  -10 + 9/4       half of 3 and square the answer (half of 3 = 3/2  

                                                 and square the number   (3/2)²  = 9/4    

x² - 3x + 9/4  =  -31/4

$(x - \frac{3}{2} )^2 = \frac{-31}{4}$

$\sqrt{(x-\frac{3}{2})^2 } =\sqrt{\frac{-31}{4} }$

$x - \frac{3}{2} = \frac{i\sqrt{31} }{2}$  

x = 3/2 ±  i$\sqrt{31}$ /2

x = 3 ± i√31

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