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oksian1 [2.3K]
3 years ago
12

What are the solutions of the quadratic equation p^2+3p-28=40

Mathematics
2 answers:
vivado [14]3 years ago
3 0

Answer:

the answer is  =-3±\sqrt{281}/2

Step-by-step explanation:

fgiga [73]3 years ago
3 0

Answer:

             \bold{p_1\approx6.88\ ,\qquad p_2\approx-9.88}

Step-by-step explanation:

p^2+3p-28=40\\\\p^2+3p-68=0\\\\a=1\,,\ b=3\,,\ c=-68\\\\\\p=\dfrac{-3\pm\sqrt{3^2-4\cdot1\cdot(-68)}}{2\cdot1}=\dfrac{-3\pm\sqrt{281}}{2}\\\\p_1\approx6.88\ ,\qquad p_2\approx-9.88

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Sedaia [141]

Answer:

x = $0.85 per pound = 19.85 pounds

y = $2.70 per pound = 1.14 pounds

Step-by-step explanation:

Let

x = $0.85 per pound

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x + y = 21 (1)

0.85x + 2.70y = 19.95 (2)

From (1)

x = 21 - y

Substitute x = 21 - y into (2)

0.85x + 2.70y = 19.95 (2)

0.85(21 - y) + 2.70y = 19.95

17.85 - 0.85y + 2.70y = 19.95

- 0.85y + 2.70y = 19.95 - 17.85

1.85y = 2.1

y = 2.1 / 1.85

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Substitute y = 1.14 into (2)

0.85x + 2.70y = 19.95

0.85x + 2.70(1.14) = 19.95

0.85x + 3.078 = 19.95

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0.85x = 16.872

x = 16.872 / 0.85

x = 19.85

x = $0.85 per pound = 19.85 pounds

y = $2.70 per pound = 1.14 pounds

4 0
2 years ago
David wants to buy a game system . The game cost $25 and it is 1/5 of the price of the game system .how much does the game syste
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Answer:

$125

Step-by-step explanation:

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Step-by-step explanation:

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