How can you use the quadratic formula to complete a square?

2 answers:

6 0

It has become somewhat fashionable to have students derive the Quadratic Formula themselves; this is done by completing the square for the generic quadratic equation ax2 + bx + c = 0. While I can understand the impulse (showing students how the Formula was invented, and thereby providing a concrete example of the usefulness of abstract symbolic manipulation), the computations involved are often a bit beyond the average student at this point.

notka56 [123]3 years ago

5 0

<span><span>Step 1 Divide all terms by a (the coefficient of x2).</span>Step 2 Move the number term (c/a) to the right side of the equation.<span>Step 3 Complete the square on the left side of the equation and balance this by adding the same value to the right side of the equation.</span></span>

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What are the first five partial sums of the arithmetic sequence an = 0.05(n – 1) – 0.6?

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The sum of the arithmetic sequence given by
<span>an = 0.05(n – 1) – 0.6
will be given by:
a1=0.05(1-1)-0.6=-0.6
a2=0.05(2-1)-0.6=-0.55
a3=0.05(3-1)-0.6=-0.5
a4=0.05(4-1)-0.6=-0.45
a5=0.05(5-1)-0.6=-0.4
thus the summation will be:
-0.6+(-0.55)+(-0.5)+(-0.45)+(-0.4)
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hence
S5=-2.5</span>

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Step-by-step explanation:

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