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tester [92]
2 years ago
14

Use the method of completing the square to transform the quadratic equation into the equation form (x – p)^2 = q.

Mathematics
1 answer:
Eva8 [605]2 years ago
8 0
                             x⁴ - 8x² = 0
                     x⁴ - 8x² + 16 = 0 + 16
             x⁴ - 4x² - 4x² + 16 = 16
x²(x²) - x²(4) - 4(x²) + 4(4) = 16
           x²(x² - 4) - 4(x² - 4) = 16
                   (x² - 4)(x² - 4) = 16 
                            (x² - 4)² = 16

The answer is B.
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Step-by-step explanation:

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yanalaym [24]

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2 years ago
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MrMuchimi

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7 0
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Help me with question a please ! With full workings !
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A)


\bf \textit{distance between 2 points}\\ \quad \\&#10;\begin{array}{lllll}&#10;&x_1&y_1&x_2&y_2\\&#10;%  (a,b)&#10;Q&({{ 0}}\quad ,&{{ 2}})\quad &#10;%  (c,d)&#10;P&({{ 0.5}}\quad ,&{{ 0}})&#10;\end{array}\qquad &#10;%  distance value&#10;d = \sqrt{({{ x_2}}-{{ x_1}})^2 + ({{ y_2}}-{{ y_1}})^2}

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b)

since QR=QP, that means that QO is an angle bisector, and thus the segments it makes at the bottom of RO and OP, are also equal, thus RO=OP

thus, since the point P is 0.5 units away from the 0, point R is also 0.5 units away from 0 as well, however, is on the negative side, thus R (-0.5, 0)


c)

what's the equation of a line that passes through the points (-0.5, 0) and (0,2)?

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3 years ago
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