Solve the question 2 (3x plus 5) Square - 16 = 0 buy completing the square

Mathematics

1 answer:

alisha [4.7K]2 years ago

5 0

Answer:

1/3(4√2/2- 5)

-1/3(4√2/2 + 5)

Step-by-step explanation:

2(3x+5)² -16=0

2(3x+5)²=16

(3x+5)² = 4²/2

3x+5= 4/√2 ⇒ 3x= 4/√2- 5 ⇒ x= 1/3(4√2/2- 5)

3x+5= -4√2 ⇒ x= -1/3(4√2/2 + 5)

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malfutka [58]

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2 years ago

Read 2 more answers

Two small pitchers and one large pitcher can hold 8 cups of water. One large pitcher minus one small

Kitty [74]

Answer:

20 cups

Step-by-step explanation:

Let the small pitchers be given by s

and the larger pitchers by l

According to the given information:

$2s + l = 8....(1) \\ and \\ l - s = 2 \\ l = s + 2...(2) \\ substituting \: l = s + 2 \: in \: equation \: (1) \\ 2s + s + 2 = 8 \\ 3s = 8 - 2 \\ 3s = 6 \\ s = \frac{6}{3} \\ \huge \red{ s = 2} \\ substituting \: s = 2 \: in \: equation \: (2) \\ l = 2 + 2 \\ \huge \purple{ l = 4}\\\\Now\\ 3l +4s \\= 3\times 4+4\times 2\\= 12 +8\\= 20\: cups$