Solving Quadratic Equations: Factoring

Question 1

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?

Revolt · Accepted Answer

x2 + x – 72 = 0

Question 2

–20–12✔ 1220

Revolt · Accepted Answer

✔ 12

Question 3

–20 or 3✔ –12 or –5 –3 or 205 or 12

Revolt · Accepted Answer

✔ –12 or –5

Question 4

Complete the equivalent equation for –7x – 60 = x2 + 10x.

Revolt · Accepted Answer

✔ 5; (x + )(x + ) = 0: 5; (x + )(x + ) = 0: 12; x =: –12 or –5

Question 5

Two positive, consecutive, odd integers have a product of 143.

Revolt · Accepted Answer

2; 13

Question 6

Which statement is true about the equation (x – 4)(x + 2) = 16?

Revolt · Accepted Answer

The factored form of the equation is (x + 4)(x – 6) = 0.

Question 7

What are the solutions of the equation 4x2 + 3x = 24 – x?

Revolt · Accepted Answer

–3 or 2

Question 8

⇒ 7

Revolt · Accepted Answer

81752

Question 9

Two positive, consecutive, odd integers have a product of 143.

Revolt · Accepted Answer

81753; 13

Question 10

Two negative integers are 5 units apart on the number line, and their product is 126. What is the sum of the two integers?

Revolt · Accepted Answer

–23

Solving Quadratic Equations: Factoring Answers

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