Distance problem

A=(x, x)
B=(1,4)
Distance AB=√5, find x;

Correct answer:

x1 =  3
x2 =  2

Step-by-step explanation:

(x1)2+(x4)2=5  (x1)2+(x4)2=5  2x210x+12=0  a=2;b=10;c=12 D=b24ac=1024212=4 D>0  x1,2=2ab±D=410±4 x1,2=410±2 x1,2=2.5±0.5 x1=3 x2=2   Factored form of the equation:  2(x3)(x2)=0  x1=3

Our quadratic equation calculator calculates it.

x2=2



Did you find an error or inaccuracy? Feel free to write us. Thank you!







Tips for related online calculators
Line slope calculator is helpful for basic calculations in analytic geometry. The coordinates of two points in the plane calculate slope, normal and parametric line equation(s), slope, directional angle, direction vector, the length of the segment, intersections of the coordinate axes, etc.
Are you 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 a quadratic equation?
Do you want to convert length units?
The Pythagorean theorem is the base for the right triangle calculator.

You need to know the following knowledge to solve this word math problem:


 
We encourage you to watch this tutorial video on this math problem: video1   video2

Related math problems and questions: