1. Equations & Inequalities

Determine the constant that should be added to the binomial so that it becomes a perfect square trinomial. Then write and factor the trinomial. x² - 10x

Solve each equation in Exercises 83–108 by the method of your choice. 2x² - x = 1

Without solving the given quadratic equation, determine the number and type of solutions. $9x^2=2-3x$

Solve each equation in Exercises 83–108 by the method of your choice. $3x^2=60$

In Exercises 35–46, determine the constant that should be added to the binomial so that it becomes a perfect square trinomial. Then write and factor the trinomial. $x^2-\frac{2}{3}x$

Solve each equation in Exercises 15–34 by the square root property. $3x^2=27$

Solve each equation in Exercises 15–34 by the square root property. $3(x-4{)}^2=15$

Compute the discriminant. Then determine the number and type of solutions for the given equation. x² - 2x + 1 = 0

Solve each equation in Exercises 15–34 by the square root property.$(3x+2{)}^2=9$

Find all values of x satisfying the given conditions. y₁ = x - 1, y₂ = x + 4 and y₁y₂ = 14

Find all values of x satisfying the given conditions. y = 2x² - 3x and y = 2

In Exercises 35–46, determine the constant that should be added to the binomial so that it becomes a perfect square trinomial. Then write and factor the trinomial. $x^2-7x$

Write the given quadratic equation in standard form. Identify $a$, $b$, and $c$. $-4x^2+x=8$

Solve each equation in Exercises 83–108 by the method of your choice. $x^2-6x+13=0$