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Solve by using tables. Give each answer to at most two decimal places. –2x2 – 4 = –8x (1 point) 0.59, 3.41 –3.41, –0.59 1.17, 6.83 –1.41, 1.41

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smmwaite

Answer

0.59, 3.41


Explanation

–2x2 – 4 = –8x is a quadrilatic equation

–2x2 – 4 = –8x  ⇒ -2x² + 8x - 4 = 0

                                2x² - 8x + 4 = 0

                                 x² - 4x + 2 = 0

Using the complete square method to solve;

x² - 4x = -2

x² - 4x + 2² = -2 + 2²

(x - 2)² = 2

x - 2 = √2

x = √2 + 2

∴ x = 1.414 + 2             or  x = -1.414 + 2

  x = 3.414                          x = 0.5858

     = 3.41                                  = 0.59

Answer:

x=3.414 and x=0.59 is the desired answer.

Step-by-step explanation:

We are given a quadratic equation as : \(-2x^2-4=-8x\\=> 2x^2-8x+4=0\)

on dividing both side by 2 we have the equation as

\(x^2-4x+2=0\)

on solving for the roots of the equation using the quadratic formula we get that \(x=2\pm \sqrt{2}\)

\(x=2+\sqrt{2}\) and \(x=2-\sqrt{2}\)

x=2+1.414 and x=2-1.414

Hence , x=3.414 and x=0.586≈0.59.


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