Given a solution eg x = 3 or -5 form factors:
(x - 3)(x + 5)
Multiply out : x2 + 2x - 15 = 0
If one of the solutions is not an integer eg x = 4.5, which is 9 over 2,
then one of the factors will be 2x - 9.
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Draw the graph of the equation. the solution is/are the points where the line cuts the x(horisontal) axis .
Whether or not that there is a solution to a quadratic equation,
When you graph the quadratic equation, you have three possibilities... 1. The graph touches x-axis once. Then that quadratic equation only has one solution and you find it by finding the x-intercept. 2. The graph touches x-axis twice. Then that quadratic equation has two solutions and you also find it by finding the x-intercept 3. The graph doesn't touch the x-axis at all. Then that quadratic equation has no solutions. If you really want to find the solutions, you'll have to go to imaginary solutions, where the solutions include negative square roots.
By forming a quadratic equation from the information given and then the length and width can be found by solving the equation.
To find the solution to this equation, you need to rearrange the terms and solve for the variable. 4 = 2b + b^2 can be rewritten as b^2 + 2b - 4 = 0. You can then solve this quadratic equation by factoring, completing the square, or using the quadratic formula.