Day 5 Simplify each expression:. 10.3 Solving Quadratic Equations I can solve quadratic equations by graphing. I can solve quadratic equations by using.

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Presentation transcript:

Day 5 Simplify each expression:

10.3 Solving Quadratic Equations I can solve quadratic equations by graphing. I can solve quadratic equations by using square roots.

A quadratic equation is an equation that can be written in the form, where a 0. This form is called the standard form of a quadratic equation. A quadratic can have 2, 1, or no real solutions. Solutions of a quadratic equation are called roots of the equation or zeros of the function or x-intercepts Solving Quadratic Equations

Solving Quadratics by Graphing Graph the following and determine their solutions. Remember: Solutions are where the graph crosses the x-axis. There can be 2, 1, or none. Ex. 1 xyxy – 2 – – 3 – 4 – 3 0

Solving Quadratics by Graphing Ex. 2 xyxy – 2 –

Solving Quadratics by Graphing Ex. 3 xyxy – 2 –

Solving Quadratics by Using Square Roots Ex. 4 Solve the following for x. Add 98 to both sides. Divide both sides by 2. Square root both sides. Remember: When you square root something, it gives you a plus and a minus answer.

Solving Quadratics by Using Square Roots Ex. 5 Solve each equation. Ex. 6 Ex. 7  Can’t take the square root of a negative.