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aksik [14]
2 years ago
15

Solve the quadratic equations by completing the square. x^2-4x=-1

Mathematics
1 answer:
kkurt [141]2 years ago
8 0

Answer:

2 ± √3

Step-by-step explanation:

<h3>Solving quadratic equation by completing squares:  </h3>

           x² - 4x = -1

  • Divide the coefficient of x by 2.

                 4 ÷ 2 = 2

  •  Now, square the result and add that to both sides of the equation.

          2² = 2* 2 = 4

          x² - 4x + 4 = -1 + 4

          x² - 4x + 4 = 3

         x² - 2 * x * 2 + 2² = 3

  •     Compare it with a² - 2ab + b² . Now , a = x and b = 2

            (x - 2)² = 3

  •     Take square root both sides

             x - 2 = ±√3

                    x = 2 ± √3

<h3>Solutions: x = 2 +√3   ;  2 - √3</h3>
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A) Height -7 = base
B) .5 * height * base = 60
Substituting A into B
B) .5 * height * (height -7) = 60
B)  .5*height^2  -3.5*height = 60
B)  .5*height^2 -3.5*height -60 = 0
Using the quadratic formula:
Height = 15
Subtracting 7 gives us the base length
Base = 8
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Double-Check
.5 * 15 * 8 = 60


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3 years ago
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3 years ago
Find the y-intercept of the line that has a slope of -3 and passes through (9,0)
Ann [662]

9514 1404 393

Answer:

  27

Step-by-step explanation:

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3 years ago
Find the x and y intercepts of the graph of the function
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Answer:

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8 0
3 years ago
Y = 2x - 3<br> x + 2y = 4
uranmaximum [27]

Answer:

x=2 , y = 1

Step-by-step explanation:

x + 2(2x-3) = 4

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6 0
3 years ago
Read 2 more answers
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