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- Equation:
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Equation 4=7-6(5x-1)
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Equation 5=12-5(4x-1)
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Equation x*40+3800=6400
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Equation x+14=8
- Express {x} in terms of y where:
- 8*x-12*y=9
- 17*x-15*y=17
- -9*x-6*y=12
- -6*x+11*y=-5
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Identical expressions
- twelve /(√ two / two)=x/(√ three / two)
- 12 divide by (√2 divide by 2) equally x divide by (√3 divide by 2)
- twelve divide by (√ two divide by two) equally x divide by (√ three divide by two)
- 12/√2/2=x/√3/2
- 12 divide by (√2 divide by 2)=x divide by (√3 divide by 2)
12/(√2/2)=x/(√3/2) equation
The teacher will be very surprised to see your correct solution 😉
The solution
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[src]
12 x ------- = ------- / ___\ / ___\ |\/ 2 | |\/ 3 | |-----| |-----| \ 2 / \ 2 /
$$\frac{12}{\frac{1}{2} \sqrt{2}} = \frac{x}{\frac{1}{2} \sqrt{3}}$$
Detail solution
Given the linear equation:
Expand brackets in the left part
Expand brackets in the right part
Divide both parts of the equation by 12*sqrt(2)/x
We get the answer: x = 6*sqrt(6)
12/(sqrt(2)/2) = x/(sqrt(3)/2)
Expand brackets in the left part
12/sqrt/2+12/2/2) = x/(sqrt(3)/2)
Expand brackets in the right part
12/sqrt/2+12/2/2) = x/sqrt/2+/3/2)
Divide both parts of the equation by 12*sqrt(2)/x
x = 2*x*sqrt(3)/3 / (12*sqrt(2)/x)
We get the answer: x = 6*sqrt(6)
Sum and product of roots
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sum
___ 6*\/ 6
$$6 \sqrt{6}$$
=
___ 6*\/ 6
$$6 \sqrt{6}$$
product
___ 6*\/ 6
$$6 \sqrt{6}$$
=
___ 6*\/ 6
$$6 \sqrt{6}$$
6*sqrt(6)