The product of two consecutive integers is 72. The equation x(x + 1) = 72 represents the situation, where x represents the smaller integer. Which equation can be factored and solved for the smaller integer?
–20–12✔ 1220
–20 or 3✔ –12 or –5 –3 or 205 or 12
–5–33✔ 5
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Two positive, consecutive, odd integers have a product of 143. Complete the equation to represent finding x, the greater integer. x(x – ) = 143 What is the greater integer?
A rectangular piece of paper has a width that is 3 inches less than its length. It is cut in half along a diagonal to create two congruent right triangles with areas of 44 square inches. Which statements are true? Check all that apply.
Percy solved the equation x2 + 7x + 12 = 12. His work is shown below. Is Percy correct? Explain.1. (x + 3)(x + 4) = 12 2. x + 3 = 12 or x + 4 = 12 3. x = 9 or x = 8
Percy is not correct because he tried to apply the zero product property to an equation that was not set equal to 0. He should have first subtracted 12 from both sides to get the equation in standard form, x^2 + 7x = 0. Then, he could factor it as x(x + 7) = 0. The correct solutions are x = 0 and x = -7.
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