9.1 Solving quadratic equations using square roots

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Presentation transcript:

9.1 Solving quadratic equations using square roots Goal: Solve a quadratic equation by finding square roots. Eligible Content: A1.1.1.1.2

Vocabulary Square Root – a number that, when multiplied by itself, will result in a given number. Radical Symbol – the symbol used to represent the square root of a number Radicand – the number under the square root symbol Perfect Square – numbers whose square roots are integers or quotients of integers.

Vocabulary Quadratic Equation – any equation whose largest exponent is 2. Examples:

Vocabulary Solution – any number that works in the equation. Most quadratic equations have 2 solutions!

Solve for x:

Examples x2 = 4 4x2 = 64 x2 + 9 = 90 3x2 – 48 = 0 2x2 + 5 = -13 x = 2 and x = -2 x = 4 and x = -4 x = 9 and x = -9 x = 4 and -4 No solution x ≈ 1.41 and x ≈ -1.41 x ≈ 3.74 and x ≈ -3.74

Practice Solve each quadratic equation: 2x2 – 12 = 116 4x2 + 6 = 42 ANSWERS: x = 8, -8 x = 3, -3 x = 10, -10 x ≈ 3.87, -3.87 Not possible

Homework Worksheet – “Solving Quadratic Equations with Square Roots”