# Distance problem 2

A=(x,2x)
B=(2x,1)
Distance AB=√2, find value of x

Result

x1 =  1
x2 =  -0.2

#### Solution:

Checkout calculation with our calculator of quadratic equations.

Leave us a comment of example and its solution (i.e. if it is still somewhat unclear...):

Be the first to comment!

#### To solve this verbal math problem are needed these knowledge from mathematics:

For Basic calculations in analytic geometry is helpful line slope calculator. From coordinates of two points in the plane it calculate slope, normal and parametric line equation(s), slope, directional angle, direction vector, the length of segment, intersections the coordinate axes etc. Looking for help with calculating roots of a quadratic equation? Do you have a linear equation or system of equations and looking for its solution? Or do you have quadratic equation? Do you want to convert length units? Pythagorean theorem is the base for the right triangle calculator.

## Next similar examples:

1. Cableway
Cableway has a length of 1800 m. The horizontal distance between the upper and lower cable car station is 1600 m. Calculate how much meters altitude is higher upper station than the base station.
Find the roots of the quadratic equation: 3x2-4x + (-4) = 0.
3. ABS CN
Calculate the absolute value of complex number -15-29i.
4. Catheti
The hypotenuse of a right triangle is 41 and the sum of legs is 49. Calculate the length of its legs.
5. RTriangle 17
The hypotenuse of a right triangle is 17 cm. If you decrease both two legs by 3 cm you will reduce the hypotenuse by 4 cm. Determine the length of this legs.
6. RT and circles
Solve right triangle if the radius of inscribed circle is r=9 and radius of circumscribed circle is R=23.
7. Segment
Calculate the length of the segment AB, if the coordinates of the end vertices are A[10, -4] and B[5, 5].
8. Euclid3
Calculate height and sides of the right triangle, if one leg is a = 81 cm and section of hypotenuse adjacent to the second leg cb = 39 cm.
9. Theorem prove
We want to prove the sentense: If the natural number n is divisible by six, then n is divisible by three. From what assumption we started?
10. Solve 3
Solve quadratic equation: (6n+1) (4n-1) = 3n2
11. Equation
Equation ? has one root x1 = 8. Determine the coefficient b and the second root x2.
12. Roots
Determine the quadratic equation absolute coefficient q, that the equation has a real double root and the root x calculate: ?
13. Discriminant
Determine the discriminant of the equation: ?