SECTION 9-3 : SOLVING QUADRATIC EQUATIONS

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Presentation transcript:

SECTION 9-3 : SOLVING QUADRATIC EQUATIONS ALGEBRA I @ SECTION 9-3 : SOLVING QUADRATIC EQUATIONS

How many x-intercepts, zero, one, or two, does each graph have? y = 3x2 y = 2x2 + 3 y = x2 – 6x a) You will note at the x-intercept, y = 0. Let’s set each of these equations equal to zero and solve. So, the x-intercept(s) and the solutions for each equation are the same.

The solutions to an equation are also called roots and zeros.

ALGEBRA I - SECTION 9-3 (Solving Quadratic Equations) 11/20/2018 2) Find the solutions to 3x2 – 75 = 0. 3x2 – 75 = 0 3x2 = 75 add 75 to both sides x2 = 25 divide both sides by 3 take the square root of both sides simplify So, the solutions are 5 and -5.

Solve each equation by finding square roots Solve each equation by finding square roots. If the equation has no real number solutions, write no solutions. 3) x2 – 16 = 0 ANSWER : 4 and -4 4) (x – 2)2 = 0 ANSWER : 2 5) x2 + 10 = 0 ANSWER : no solutions 6) 5x2 – 45 = 0 ANSWER : 3 and -3 7) 7x2 – 140 = 0 ANSWER :