Two boats are traveling in a canal in opposite directions, where x represents the distance, in feet, between the boats. the equation 2(x 1) = 2x 2 models the paths of the boats. solve for x. all real numbers no solution 0 1

Respuesta :

The distance between two boats travelling in a canal in opposite direction is either '1' feet or '0' feet.

What is Quadratic Equation?

A quadratic equation is a second-order polynomial equation in a single variable x  [tex]ax^{2} + bx + c = 0[/tex] where a ≠ 0.

For example:

1. [tex]x^{2} + x + 2 =0[/tex]

2. [tex]3x^{2} + 5x + 2 = 0[/tex]

A quadratic equation will always have two solution.

We can find the solution of quadratic equation using Quadratic formula:

See the attached image for the formula.

As we have given:

[tex]2x= 2x^{2}[/tex]

now, Since it is a quadratic equation so it will have two solution:

[tex]2x^{2} - 2x = 0[/tex]

taking common, 2x

[tex]2x ( x - 1 ) = 0[/tex]

on computing,

2x = 0, → x = 0

x - 1 = 0 → x = 1

Hence,

The distance between two boats travelling in a canal in opposite direction is either '1' feet or '0' feet.

Learn more about "Quadratic Equation and Formula" from here: https://brainly.com/question/17177510

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