What is the most convenient method to solve the quadratic equation ( x + 4 )² = 15

Mathematics

2 answers:

Mademuasel [1]3 years ago

8 0

Answer:

Step-by-step explanation:

IgorC [24]3 years ago

7 0

Answer:

Factoring

Step-by-step explanation:

(x+4)² = 15

x² + 8x + 16 = 15

x² + 8x + 1 = 0

$x = \frac{ - 8 + \sqrt{64 - 4} }{2} = - 4 + \sqrt{15} \\ \\ x = \frac{ - 8 - \sqrt{64 - 4} }{2} = - 4 - \sqrt{15}$

I hope this helps you :)

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Factor the following:
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The length of a rectangle is increasing at a rate of 6 cm/s and its width is increasing at a rate of 5 cm/s. When

atroni [7]

Answer:

The area of the rectangle is increasing at a rate of 84 square centimeters per second.

Step-by-step explanation:

The area for a rectangle is given by the formula:

$A=w\ell$

Where w is the width and l is the length.

We are given that the length of the rectangle is increasing at a rate of 6 cm/s and that the width is increasing at a rate of 5 cm/s. In other words, dl/dt = 6 and dw/dt = 5.

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