1. Equations & Inequalities

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. x² + 3x

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. $x^2-7x$

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. $x^2-\frac{2}{3}x$

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. $x^2-\left(1/3\right)x$

Solve each equation in Exercises 47–64 by completing the square. $x^2-6x-11=0$

Solve each equation in Exercises 47–64 by completing the square. $x^2+4x+1=0$

Solve each equation in Exercises 47–64 by completing the square. $x^2-5x+6=0$

Solve each equation in Exercises 47–64 by completing the square. $x^2+3x-1=0$

Solve each equation in Exercises 47–64 by completing the square. 3x² - 5x - 10 = 0

Solve each equation in Exercises 65–74 using the quadratic formula. $x^2+8x+15=0$

Solve each equation in Exercises 65–74 using the quadratic formula. x² + 5x + 3 = 0

Solve each equation in Exercises 65–74 using the quadratic formula. $3x^2-3x-4=0$

Solve each equation using the quadratic formula. $2x^2=3-4x$

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

Solve each equation by the method of your choice. $3x^2-7x+1=0$