solving quadratic equations: factoring

For what values of x is x2 - 36 = 5x true?

-4 and 9

The product of two consecutive integers is 420. An equation is written in standard form to solve for the smaller integer by factoring. What is the constant of the quadratic expression in this equation? x2 + x + ___ = 0

-420

The function h(t) = -16t2 + 96t + 6 represents an object projected into the air from a cannon. The maximum height reached by the object is 150 feet. After how many seconds does the object reach its maximum height?

3 seconds

For what values of x is x2 + 2x = 24 true?

4 and -6

John has 48 square centimeter tiles he wants to use to create a mosaic. He wants the mosaic to be rectangular with a length that is 2 centimeters longer than the width. Which equation could John solve to find w, the greatest width in centimeters he can use for the mosaic?

w(w + 2) = 48

Which is a solution to (x - 3)(x + 9) = -27?

x = 0

What are the solutions to the equation? x2 + 6x = 40

x = −10 and x = 4

Which is a solution to the equation? (x −2)(x + 5) = 18

x = −7

Two positive integers have a product of 176. One integer is 5 less than the other integer. Which equation can be used to find the value of x, the greater integer?

x(x - 5) = 176

A square picture with a side length of 4 inches needs to be enlarged. The final area needs to be 81 square inches. Which equation can be used to solve for x, the increase in side length of the square in inches?

x2 + 8x - 65 = 0