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Serga [27]
3 years ago
5

Solve for x in the equation 2x^2-4x-9=29

Mathematics
1 answer:
Andrews [41]3 years ago
3 0

Answer:

x = 1  ±2sqrt(5)

Step-by-step explanation:

2x^2-4x-9=29

Add 9 to each each side

2x^2-4x-9+9=29+9

2x^2-4x=38

Divide by 2

2/2x^2-4/2x=38/8

x^2 -2x =19

Complete the square

x^2 -2x + (-2/2)^2 = 19 +(-2/2)^2

x^2 -2x +1 = 19+1

(x-1)^1=2 = 20

Take the square root of each side

sqrt((x-1)^2) = ±sqrt(20)

x-1 =  ±sqrt(20)

Add 1 to each side

x-1+1 = 1  ±sqrt(20)

x = 1 ±sqrt(20)

Simplifying the square root of 20

x = 1  ±sqrt(4)sqrt(5)

x = 1  ±2sqrt(5)

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4 0
2 years ago
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Solve by completing the square: 5x2 + 20x + 32 = 0
igor_vitrenko [27]
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5 0
3 years ago
Solve 40=4y.<br><br> the solution is y=??
Tanzania [10]

Answer:

y = 10

Step-by-step explanation:

40 = 4y

y = 40 : 4

y = 10

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Step-by-step explanation:

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3 years ago
Last month maria high the 5 mile Mountain Trail a number of times and she hiked the 10 mile canal trail several times. Let X rep
Marrrta [24]

Alright, lets get started.

Maria hiked the 5 mile Mountain Trail a number of times and she hiked the 10 mile canal trail several times.

x times she hiked 5 mile mountain.

So, number of mils she hiked for 5 miles will be = 5 x

Similarly,

y times she hiked 10 mile canal,

So, number of miles she hiked for canal = 10 y

So, total number of miles she hiked = 5 x +10 y

But as per question given,  she had a total of 90 miles

It means

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Dividing this equation with 5

x + 2 y = 18

So, the equation is x + 2 y = 18 :   Answer

Hope it will help :)




8 0
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