10-3 Solving Quadratic Equations. Quadratic Function (y = ax 2 +bx+c) Quadratic Equation ( ax 2 +bx+c=0)

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Presentation transcript:

10-3 Solving Quadratic Equations

Quadratic Function (y = ax 2 +bx+c) Quadratic Equation ( ax 2 +bx+c=0)

The solution to a quadratic equation are the x-intercepts of its quadratic function.

A quadratic equation usually has two solutions, but it can also have one solution or no solution!

The solutions are the x-intercepts…. one solutiontwo solutionsno solution

You can solve it by graphing, solving, factoring or by using the quadratic formula (section 10-6)

Solving by graphing Just graph the equation and identify the x-intercept(s).

Solving by solving/factoring Solve(simplify) the equation. Example: The solution is 0.

Solving by solving/factoring Solve(simplify) the equation. Example: The solution is ±4.

Solving by solving/factoring Solve(simplify) the equation. Example: There is no solution.

Solving by solving/factoring Factor the equation, then set each factor equal to zero and solve. Example: The solutions are ±5.

Solving by solving/factoring Factor the equation, then set each factor equal to zero and solve. Example: The solutions are -2 and -3.

Solving by solving/factoring Factor the equation, then set each factor equal to zero and solve. Example: The solution is -4.