Solving Quadratic Equations Using Square Roots - Concept

Concept Concept (1)

When graphing radical equations using shifts, adding or subtracting a constant that is not in the radical will shift the graph up (adding) or down (subtracting). Adding or subtracting a constant that is in the radical will shift the graph left (adding) or right (subtracting). Multiplying a negative constant by the equation will reflect the graph over the x-axis. Multiplying by a number larger than one increases the y-values.

Sample Sample Problems (14)

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Solving Quadratic Equations Using Square Roots - Problem 1

Solve:

x² − 225 = 0
Problem 1
How to solve binomial quadratic equations using square roots.
Solving Quadratic Equations Using Square Roots - Problem 2

Solve:

100x² − 81 = 0
Problem 2
How to solve binomial quadratic equations by using square roots when the answer is a decimal approximation.
Solving Quadratic Equations Using Square Roots - Problem 3

Solve:

x² + 36 = 0
Problem 3
How to recognize quadratic equations that have no solution.
Solving Quadratic Equations Using Square Roots - Problem 4
Problem 4
How to solve a binomial quadratic equation by square rooting both sides
Solving Quadratic Equations Using Square Roots - Problem 5
Problem 5
How to solve binomial quadratic equations by square rooting both sides of the equation
Solving Quadratic Equations Using Square Roots - Problem 6
Problem 6
Finding the x-intercepts of a parabola by solving by taking square roots
Solving Quadratic Equations Using Square Roots - Problem 7
Problem 7
Basic example of completing the square to solve a quadratic equation by taking square roots
Solving Quadratic Equations Using Square Roots - Problem 8
Problem 8
Solving quadratic equations with no linear term by taking square roots
Solving Quadratic Equations Using Square Roots - Problem 9
Problem 9
Solving a quadratic equation with fractions by taking square roots
Solving Quadratic Equations Using Square Roots - Problem 10
Problem 10
Solving word problems involving parabolas without an initial velocity by taking square roots
Solving Quadratic Equations Using Square Roots - Problem 11
Problem 11
Solving quadratic equations with imaginary roots by taking square roots
Solving Quadratic Equations Using Square Roots - Problem 12
Problem 12
Solving a quadratic equation with a squared binomial by taking square roots
Solving Quadratic Equations Using Square Roots - Problem 13
Problem 13
Solving a quadratic equation with a binomial squared by taking square roots
Solving Quadratic Equations Using Square Roots - Problem 14
Problem 14
Solving quadratic equations with x^2 and a constant by taking square roots