Mister Exam
Other calculators
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How to use it?
- Equation:
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Equation x+19=12
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Equation -x-7=x
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Equation 9-2*(-4*x+7)=7
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Equation (x+2)/9=(x-3)/2
- Express {x} in terms of y where:
- 12*x-13*y=-14
- -4*x+6*y=-7
- 10*x-18*y=-11
- -4*x-8*y=-20
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Identical expressions
- sqrt(three - two *sqrt(two))+sqrt(eighteen - eight *sqrt(two))=x
- square root of (3 minus 2 multiply by square root of (2)) plus square root of (18 minus 8 multiply by square root of (2)) equally x
- square root of (three minus two multiply by square root of (two)) plus square root of (eighteen minus eight multiply by square root of (two)) equally x
- √(3-2*√(2))+√(18-8*√(2))=x
- sqrt(3-2sqrt(2))+sqrt(18-8sqrt(2))=x
- sqrt3-2sqrt2+sqrt18-8sqrt2=x
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Similar expressions
- sqrt(3-2*sqrt(2))-sqrt(18-8*sqrt(2))=x
- sqrt(3-2*sqrt(2))+sqrt(18+8*sqrt(2))=x
- sqrt(3+2*sqrt(2))+sqrt(18-8*sqrt(2))=x
sqrt(3-2*sqrt(2))+sqrt(18-8*sqrt(2))=x equation
The teacher will be very surprised to see your correct solution 😉
The solution
You have entered
[src]
_____________ ______________ / ___ / ___ \/ 3 - 2*\/ 2 + \/ 18 - 8*\/ 2 = x
$$\sqrt{3 - 2 \sqrt{2}} + \sqrt{18 - 8 \sqrt{2}} = x$$
Detail solution
Given the linear equation:
Expand brackets in the left part
Move the summands with the unknown x
from the right part to the left part:
$$- x + \sqrt{3 - 2 \sqrt{2}} + \sqrt{18 - 8 \sqrt{2}} = 0$$
Divide both parts of the equation by (sqrt(3 - 2*sqrt(2)) + sqrt(18 - 8*sqrt(2)) - x)/x
We get the answer: x = sqrt(3 - 2*sqrt(2)) + sqrt(18 - 8*sqrt(2))
sqrt(3-2*sqrt(2))+sqrt(18-8*sqrt(2)) = x
Expand brackets in the left part
sqrt3-2*sqrt+2)+sqrt18-8*sqrt+2) = x
Move the summands with the unknown x
from the right part to the left part:
$$- x + \sqrt{3 - 2 \sqrt{2}} + \sqrt{18 - 8 \sqrt{2}} = 0$$
Divide both parts of the equation by (sqrt(3 - 2*sqrt(2)) + sqrt(18 - 8*sqrt(2)) - x)/x
x = 0 / ((sqrt(3 - 2*sqrt(2)) + sqrt(18 - 8*sqrt(2)) - x)/x)
We get the answer: x = sqrt(3 - 2*sqrt(2)) + sqrt(18 - 8*sqrt(2))
Sum and product of roots
[src]
sum
_____________ ______________ / ___ / ___ \/ 3 - 2*\/ 2 + \/ 18 - 8*\/ 2
$$\sqrt{3 - 2 \sqrt{2}} + \sqrt{18 - 8 \sqrt{2}}$$
=
_____________ ______________ / ___ / ___ \/ 3 - 2*\/ 2 + \/ 18 - 8*\/ 2
$$\sqrt{3 - 2 \sqrt{2}} + \sqrt{18 - 8 \sqrt{2}}$$
product
_____________ ______________ / ___ / ___ \/ 3 - 2*\/ 2 + \/ 18 - 8*\/ 2
$$\sqrt{3 - 2 \sqrt{2}} + \sqrt{18 - 8 \sqrt{2}}$$
=
_____________ ______________ / ___ / ___ \/ 3 - 2*\/ 2 + \/ 18 - 8*\/ 2
$$\sqrt{3 - 2 \sqrt{2}} + \sqrt{18 - 8 \sqrt{2}}$$
sqrt(3 - 2*sqrt(2)) + sqrt(18 - 8*sqrt(2))
Rapid solution
[src]
_____________ ______________
/ ___ / ___
x1 = \/ 3 - 2*\/ 2 + \/ 18 - 8*\/ 2
$$x_{1} = \sqrt{3 - 2 \sqrt{2}} + \sqrt{18 - 8 \sqrt{2}}$$
x1 = sqrt(3 - 2*sqrt(2)) + sqrt(18 - 8*sqrt(2))