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rusak2 [61]
3 years ago
11

2xsquare-6x+3=0 by completing square method

Mathematics
1 answer:
Arturiano [62]3 years ago
5 0

Answer:

x = 2.36603 or 0.633975

Step-by-step explanation:

Here we want to solve the quadratic equation using the completing the square method.

2x^2-6x + 3 = 0

divide through by 2 first;

x^2 -3x + 3/2 = 0

x*2 -3x = -3/2

Half the x term will be -3/2 and squaring it is 9/4

we add this to both sides

x^2-3x/2 + 9/4 = -3/2 + 9/4

(x-3/2)^2 = 3/4

Finding square root of both sides

x-3/2 = √(3/4)

x = 3/2 ± √(3/4)

x = 3/2 + √(3/4) or x = 3/2-√(3/4)

which becomes

x = 2.36603 or 0.633975

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Devon and his friends bought strawberry wafers for $3 per packet and chocolate wafers for $1 per packet at a carnival. They spen
Irina-Kira [14]
Hi there!

PART A:
The system of equations we would use would be:
x + y = 22 (amount of items)
3x + 1y = 30 (cost)

Variables:
x = the amount of strawberry wafers bought at the price of $3
y = the amount of chocolate wafers bought at the price of $1

PART B:
To solve, we'll use substitution because we can easily isolate a variable using the first equation.

Work:
x + y = 22 (first equation)
y = 22 - x (isolating a variable)
3x + 1y = 30 (second equation)
3x + (22 - x) = 30 (substituting into the second equation)
2x + 22 = 30 (simplifying)
2x = 8 (subtracting)
x = 4 strawberry wafers
4 + y = 22 (substituting x into the first equation to solve for y)
y = 18 chocolate wafers

ANSWER:
They bought 4 strawberry wafers and 18 chocolate wafers.

Hope this helps!! :)
If there's anything else that I can help you with, please let me know!
8 0
3 years ago
Carmen ran one mile in 7 minutes. At this rate, how long will it take her to run 5 miles?
Gala2k [10]
It would take her 35 minutes to run 5 miles
3 0
3 years ago
Simplify to create an equivalent expression.
svet-max [94.6K]

Answer:

9y + 24

Step-by-step explanation:

2(3y + 6) - 3(-4 - y)

= 6y + 12 - 3(-4 - y)

= 6y + 12 + 12 + 3y

= 9y + 12 + 12

= 9y + 24

3 0
3 years ago
Simplify square root 20 + square root 80
timama [110]

Answer:2\sqrt{5} \\+4\sqrt{5}



The square root of 20 simplified is 2\sqrt{5} \\

And the square root of 80 simplified is 4\sqrt{5}

So it would look like 2\sqrt{5} \\+4\sqrt{5}

8 0
3 years ago
Suppose F (X)=x2. Find the graPh of. f(x+4)
erica [24]

Answer:

Graph of f(x+4) has been shown in the attached file.

Step-by-step explanation:

We have been given that f(x)=x^2

On substituting x = x+4, we get

f(x)=(x+4)^2

Now, we know that the parent function f(x)=x^2 represents a parabola whose vertex is at (0,0).

When we add any constant c in x then the parent function shifts c units left.

Since, we have added 4 in x, hence the graph of the given function will shift 4 units left. Thus, the vertex of the new parabola will be (-4,0)

Graph of f(x+4) has been shown in the attached file.

3 0
3 years ago
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