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svetoff [14.1K]
3 years ago
9

Solve;

Mathematics
1 answer:
Viktor [21]3 years ago
7 0
5x+5=6.4-2.7x
7.7x=1.4
x=1.4/7.7
x=0.181818...

0.2(6x+1)=0.5x
1.2x+0.2=0.5x
0.7x=-0.2
x=-0.2/0.7
x=-0.285714285714......
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Explain how to do this please show your work
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3 years ago
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2 years ago
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alukav5142 [94]
In this problem, we need to plug in the given x values for f(x)=0 and find a and b.

When we plug in 1, we get: 2 \times {1}^{4} - 5 \times {1}^{3} - 14 \times {1}^{2} + a \times 1 + b = 0

Simplify:
2 - 5 - 14 + a + b = 0
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We got our first statement about the values of the variables. If we find one more we can find those 2 variables.

We have another given root: 4.

Plug it in:
2 \times {4}^{4} - 5 \times {4}^{3} - 14 \times {4}^{2} + a \times 4 + b = 0
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- 32 + 4a + b = 0
4a + b = 32

Now we have our second one. We can combine them:
a + b = 17 \\ 4a + b = 32

I use elimination method which is easier here.

Multiply the top equation by -1: - a - b = - 17 \\ 4a + b = 32

Add them up:
3a = 15

Simplify:
a = 5

Now we have a, we can plug in one of those equations to find b:
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So, the answers are a=5 and b=12 .
6 0
3 years ago
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