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

Step 1 Divide all terms by a (the coefficient of x2).Step 2 Move the number term (c/a) to the right side of the equation.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.

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Answer:

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Step-by-step explanation:

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be rectangular prism and rectangular pyramid have the same volume. determine the value of x, the height of the pyramid.

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ANSWER

$x= 9 \: in$

EXPLANATION

The volume of a rectangular prism is given by the formula,

$V = l \times b \times h$
We substitute the dimensions to obtain,

$V = 6 \times 3 \times 12 \: {in}^{3}$

The volume of the rectangular pyramid is,

$V = \frac{1}{3} \times 6 \times 12 \times x \: {in}^{3}$

Equating the two volumes gives,

$\frac{1}{3} \times 6 \times 12 \times x = 6 \times 3 \times 12$

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