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Mathematics
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what is the first step in solving the quadratic equation x2 – 40 = 0?

(A) Taking the square root of both side of the equation

(b) adding 40 to both sides of the equation

(c) squaring both sides of the equation 

(d) Subtracting 40 from both sides of the equatio

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Casey Durgan
Casey DurganLv2
13 Apr 2020
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Related questions

Consider the following problem: A box with an open top is to be constructed from a square piece of cardboard, 3 ft wide, by cutting out a square from each of the four corners

and bending up the sides. Find the largest volume that such a box can have.

  1. Draw several diagrams to illustrate the situation, some short boxes with large bases and some tall boxes with small bases. Find the volumes of several such boxes. Does it appear that there is a maximum volume? If so, estimate it.

  2. Draw a diagram illustrating the general situation. Introduce notation and label the diagram with your symbols.

  3. Write an expression for the volume.

  4. Use the given information to write an equation that relates the variables.

  5. Use part (d) to write the volume as a function of one variable.

  6. Finish solving the problem and compare the answer with your estimate in part (a).

What are the values of a, b, c in the quadratic equation -2x2+4x-3=0, where a, b, c are the coefficients of x2, x1, x0 respectively?

7. A square sheet of cardboard of side length a is used to make an open box by cutting equal squares from the four corners and folding up the sides. What size squares in terms of a should be cut out of the corners to obtain a box of maximum possible volume? What is the maximum possible volume (in terms of a)? Show all work and justification in your solution. (13 points)

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