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Learning Task 3. Set up an equation and solve each problem.
1. The square of a number equals nine times that number. Find the number.
2. Suppose that four times the square of a number equals 20 times that num-
ber. What is the number?
3. Twice the square of the sum of a number and 3 is 98. Find the number.
​

Sagot :

Answer:

Find the solution of the following quadratic equations.

1. (x - 4)² = 169

2. (d + 7)² = 289

3. (2y - 1)² - 225 = 0

4. X² - 16 = 0

  1. 5. (x + 5)² - 16 = 0

6. 2X² - 32 = 0

Ngulapoidn

Answer:

1. The square of a number equals nine times that number. Find the number.

 

  Equation:

  x^2 = 9x

  Solving:

  x^2 - 9x = 0

  x(x - 9) = 0

  So, the solutions are:

  x = 0

  or

  x = 9

  The numbers are 0 and 9.

2. Suppose that four times the square of a number equals 20 times that number. What is the number?

  Equation:

  4x^2 = 20x

  Solving:

  4x^2 - 20x = 0

  4x(x - 5) = 0

  So, the solutions are:

  x = 0

  or

  x = 5

  The numbers are 0 and 5.

3. Twice the square of the sum of a number and 3 is 98. Find the number.

  Equation:

  2(x + 3)^2 = 98

  Solving:

  (x + 3)^2 = 49

  x + 3 = ±7

  So, the solutions are:

  x + 3 = 7

  x = 4

  and

  x + 3 = -7

  x = -10

  The numbers are 4 and -10.

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