The solutions to a quadratic equation on a graph are the two points that cross the x-axis.
NB A graphed quadratic equ'n produces a parabolic curve. If the curve crosses the x-axis in two different points it has two solution.
If the quadratic curve just touches the x-axis , there is only ONE solution.
It the quadratic curve does NOT touch the x-axis , then there are NO solutions.
NNB In a quadratic equation, if the 'x^(2)' value is positive, then it produces a 'bowl' shaped curve.
Conversely, if the 'x^(2)' value is negative, then it produces a 'umbrella' shaped curve.
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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.
Draw the graph of the equation. the solution is/are the points where the line cuts the x(horisontal) axis .
To find the roots (solutions) of a quadratic equation.
If the discriminant of the quadratic equation is equal or greater than zero it will have 2 solutions if it is less than zero then there are no solutions.
I suggest you use the quadratic formula.