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Elis [28]
3 years ago
10

Solve.

Mathematics
1 answer:
bulgar [2K]3 years ago
4 0

Translating the situation to a mathematical sentence, and solving, we find that the solutions are: x = 5 \pm 3\sqrt{2}

The translation of the problem given is:

(x - 5)^2 + 1 = 19

Then, solving:

(x - 5)^2 = 18

x^2 - 10x + 25 = 18

x^2 - 10x + 7 = 0

Which is a quadratic equation with a = 1, b = -10, c = 7. Then:

\Delta = (-10)^{2} - 4(1)(7) = 72

x_{1} = \frac{-(10) + \sqrt{72}}{2}

x_{2} = \frac{-(-10) - \sqrt{72}}{2}  

\sqrt{72} = \sqrt{9 \times 8} = \sqrt{3^2 \times 2^3} = 6\sqrt{2}, then:

x_1 = 5 + 3\sqrt{2}

x_2 = 5 - 3\sqrt{2}

The solutions are x = 5 \pm 3\sqrt{2}

A similar problem is given at brainly.com/question/13094243

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3 0
4 years ago
Read 2 more answers
1. Un automóvil que se desplaza con velocidad constante aplica los frenos
arlik [135]

Answer:

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Step-by-step explanation:

Dados los siguientes datos;

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a. Para encontrar la velocidad;

Velocidad = distancia/tiempo

Velocidad = 400/25

Velocidad = 16 m/s

b. Para encontrar la desaceleración;

Durante una desaceleración, la velocidad inicial es mayor que la velocidad final.

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Sabemos que la velocidad final es igual a cero (0) porque el automóvil se detiene.

Deceleración = (0-16)/25

Deceleración = 16/25

Deceleración = 0.64 m/s²

7 0
3 years ago
47 in = ? ft ? in<br><br>564 ft 0 in<br><br>3 ft 9 in<br><br>4 ft 0 in<br><br>3 ft 11 in
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Answer:

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Step-by-step explanation:

4 0
3 years ago
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<span>                                               <u>24 + 3x = 3x + 3(7 - 1)</u>

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Subtract  3x  from each side:       <em>24  =  18</em>

Look at that for a second.  Can ANY value of 'x' make 24 equal to 18 ?
I don't think so.
There's NO number that makes the equation a true statement.

That's just another way to say: "The equation has NO solution."</span>


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3 years ago
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Step-by-step explanation:

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