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Rewrite each equation in the form ax² +bx + c = 0, then give the corresponding value of a, b and c.

1. 18x² - 9x=7

2. y² + 15y =8y

3. 20 - x² = x

4. 0 = p² - 7p

5. m² = 16

6. -25t² + 4 = 0

7. (x + 3)² = 1

8. -3a = a² + 9

9. n² - 4 = 5 (n - 3)

10. 5j (j - 3) - 4 = j -6​​


Sagot :

Answer:

1. 18x² - 9x = 7

  • standard form: 18x² - 9x - 7 = 0
  • a = 18
  • b = -9
  • c = -7

2. y² + 15y = 8y

y² + 15y - 8y = 0

  • standard form: y² + 7y = 0
  • a = 1
  • b = 7
  • c = 0

3. 20 - x² = x

20 - x² - x = 0

-x² - x + 20 = 0

-1(-x² - x + 20 = 0)

  • standard form: x² + x - 20 = 0
  • a = 1
  • b = 1
  • c = -20

4. 0 = p² - 7p

-p² + 7p = 0

-1(-p² + 7p = 0)

  • standard form: p² - 7p = 0
  • a = 1
  • b = -7
  • c = 0

5. m² = 16

  • standard form: m² - 16 = 0
  • a = 1
  • b = 0
  • c = -16

6. -25t² + 4 = 0

-1(-25t² + 4 = 0)

  • standard form: 25t² - 4 = 0
  • a = 25
  • b = 0
  • c = -4

7. (x + 3)² = 1

(x + 3)(x + 3) = 1

x² + 3x + 3x + 9 = 1

x² + 6x + 9 - 1 = 0

  • standard form: x² + 6x + 8 = 0
  • a = 1
  • b = 6
  • c = 8

8. -3a = a² + 9

-3a - a² - 9 = 0

-a² - 3a - 9 = 0

-1(-a² - 3a - 9 = 0)

  • standard form: x² + 3a + 9 = 0
  • a = 1
  • b = 3
  • c = 9

9. n² - 4 = 5(n - 3)

n² - 4 = 5n - 15

n² - 4 - 5n + 15 = 0

  • standard form: n² - 5n + 11 = 0
  • a = 1
  • b = -5
  • c = 11

10. 5j(j - 3) - 4 = j - 6

5j² - 15j - 4 = j - 6

5j² - 15j - 4 - j + 6 = 0

  • standard form: 5j² - 16j + 2 = 0
  • a = 5
  • b = -16
  • c = 2