1. Equations & Inequalities

Dimensions of a Square What is the length of the side of a square if its area and perimeter are numerically equal?

Solve each equation using the square root property. (4x + 1)² = 20

Solve each equation using the square root property. (-2x + 5)² = -8

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. 2x²+x-15 = 0

Solve each equation. x²- √(5x) -1 = 0

Solve each equation using completing the square. -2x² + 4x + 3 = 0

Solve each equation in Exercises 47–64 by completing the square. $x^2+4x=12$

Evaluate the discriminant for each equation. Then use it to determine the number and type of solutions. -8x² + 10x = 7

Solve each equation using the quadratic formula. x² - 3x - 2 = 0

Solve each equation using the quadratic formula. (1/2)x² + (1/4)x - 3 = 0

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

Solve each equation using the quadratic formula. See Examples 5 and 6.

$(3x+2)(x-1)=3x$

Solve each equation for the specified variable. (Assume no denominators are 0.) F = kMv²/r , for v

In Exercises 75–82, compute the discriminant. Then determine the number and type of solutions for the given equation. $x^2-4x-5=0$