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Nikolay [14]
3 years ago
11

Rewrite the equation by completing the square: 2x²-3x-5=0

Mathematics
2 answers:
Nata [24]3 years ago
8 0

Answer:

(x-¾)² = 49/16

Step-by-step explanation:

0 = 2x² - 3x - 5

2x² - 3x = 5

Divide by the leading coefficient

x²-(3/2)x = 5/2

Complete the square

 coefficient of the x term: 3/2

 divide coefficient in half: ¾

 square it: (¾)²

 add (¾)² to both sides to complete the square and keep the equation balanced:

x²-(3/2)x + (¾)² = 5/2 + (¾)²

(x-¾)² = 49/16

If you need to solve for x:

x-¾ = ±√(49/16) = ±7/4

x = 5/2, -1

jekas [21]3 years ago
5 0

Answer: (x-5) (x+2) =0

Step-by-step explanation:

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Solve then check solution
klio [65]

Answer:

1. z = 128

2. x = 4.2

3. c = 10

4. w = 100

5. a = 95.2

Step-by-step explanation:

1. Solve for z:

z/16 = 8

Multiply both sides of z/16 = 8 by 16:

(16 z)/16 = 16×8

(16 z)/16 = 16/16×z = z:

z = 16×8

16×8 = 128:

Answer:  z = 128

_____________________________________________________

2. Solve for x:

3.5 x = 14.7

Divide both sides of 3.5 x = 14.7 by 3.5:

(3.5 x)/3.5 = 14.7/3.5

3.5/3.5 = 1:

x = 14.7/3.5

14.7/3.5 = 4.2:

Answer:  x = 4.2

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3. Solve for c:

32 = 3.2 c

32 = 3.2 c is equivalent to 3.2 c = 32:

3.2 c = 32

Divide both sides of 3.2 c = 32 by 3.2:

(3.2 c)/3.2 = 32/3.2

3.2/3.2 = 1:

c = 32/3.2

32/3.2 = 10:

Answer:  c = 10

__________________________________________________

4. Solve for w:

(2 w)/5 = 40

Multiply both sides of (2 w)/5 = 40 by 5/2:

(5×2 w)/(2×5) = 5/2×40

5/2×2/5 = (5×2)/(2×5):

(5×2)/(2×5) w = 5/2×40

5/2×40 = (5×40)/2:

(5×2 w)/(2×5) = (5×40)/2

(5×2 w)/(2×5) = (2×5)/(2×5)×w = w:

w = (5×40)/2

2 | 2 | 0

| 4 | 0

- | 4 |  

| | 0

| - | 0

| | 0:

w = 5×20

5×20 = 100:

Answer: w = 100

___________________________________________________

5. Solve for a:

a/14 = 6.8

Multiply both sides of a/14 = 6.8 by 14:

(14 a)/14 = 14×6.8

(14 a)/14 = 14/14×a = a:

a = 14×6.8

14×6.8 = 95.2:

Answer:  a = 95.2

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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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