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Licemer1 [7]
3 years ago
8

When you would not need to use the quadratic formula

Mathematics
1 answer:
sergiy2304 [10]3 years ago
3 0

Answer: When the quadratic equation  can be factored or solved by completing the square, you do not need to use the quadratic formula

Step-by-step explanation: In the form   ax² + bx + c

Whenever <em><u>a</u></em> is 1 (implied, no coefficient of x²) and the constant,  <u><em>c</em></u>, is a multiple of numbers whose sum or difference is equal to <u><em>b</em></u>, factoring is much quicker and easier than using the quadratic formula.

Even when there is a coefficient of x², there are procedures to find the factors and solve for x without resorting to the quadratic formula.

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Find the length of the hypotenuse of a triangle if one of its legs is 11 cm long and its perimeter is 132 cm.
rodikova [14]

Answer:

1.)

132 cm - 11 cm = 121 cm

So let the hypotenuse be x and the other leg be (121 - x).

11^2 + (121 - x)^2 = x^2

121 + 121^2 - 121(2)x = 0

x = 1/2 + 121/2 = 61 cm

Step-by-step explanation: not sure if this is right or not

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3 years ago
Read 2 more answers
Coleman uses his graphing calculator to find all of the solutions to the equation shown below.
Phoenix [80]

Answer:

The correct option is;

D. x = -1.38 and 0.82

Please find attached the combined function chart

Step-by-step explanation:

The given equation is x³ + 3 = -x⁴ + 4

Plotting the equation using Excel, we have;

f(x) = x³ + 3, h(x) = -x⁴ + 4

x                                             f(x)                                       h(x)

-1.4                                         0.256                                   0.1584

-1.39                                       0.314381                              0.26699

-1.38                                       0.371928                             0.373261

-1.37                                       0.428647                             0.477246

-1.36                                       0.484544                             0.57898

Which shows an intersection at the point around -1.38

x                                          f(x)                                     h(x)

0.77                                    3.456533                         3.64847

0.78                                    3.474552                         3.629849

0.79                                    3.493039                          3.610499

0.8                                         3.512                                3.5904

0.81                                      3.531441                           3.569533

0.82                                       3.551368                          3.547878

0.83                                       3.571787                            3.525417

Which shows the intersection point around 0.82

Therefore, the correct option is x = -1.38 and 0.82

From the graphing calculator the intersection point is given as

x = -1.3802775691 and 0.81917251339.

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3 years ago
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Answer:

C.

Step-by-step explanation:

I cant really explain it but i had the same question and had the answer worked out on the paper

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Step-by-step explanation:

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