Ask Question
15 July, 11:37

Question:

Consider the following sequence of steps to solve the equation: - 15 + 4x + 4x2 = 0

Step 1 ⇒ 4x2 + 4x - 15 = 0

Step 2 ⇒ 4x2 - 6x + 10x - 15 = 0

Step 3 ⇒ 2x (2x - 3) + 5 (2x - 3) = 0

Step 4 ⇒ (2x + 5) (2x - 3) = 0

Step 5 ⇒ x = - 3/2 or x = 5/2

A. Explain why Step 1 is valid using properties of the real number system.

Show possible intermediate steps to support your explanation.

A. Explain why Step 4 is valid.

+5
Answers (1)
  1. 15 July, 12:19
    0
    Step 1:

    Addition is commutative

    A + B = B + A

    So the terms can be rearranged

    Step 4:

    2x (2x - 3) + 5 (2x - 3)

    Since (2x - 3) is common to both terms,

    You can take it common

    (2x - 3) (2x + 5)

    This can be proved verified using distribution property

    (2x - 3) (2x + 5) is the same as

    (2x + 5) (2x - 3) because multiplication is commutative
Know the Answer?
Not Sure About the Answer?
Get an answer to your question ✅ “Question: Consider the following sequence of steps to solve the equation: - 15 + 4x + 4x2 = 0 Step 1 ⇒ 4x2 + 4x - 15 = 0 Step 2 ⇒ 4x2 - 6x ...” in 📙 Mathematics if there is no answer or all answers are wrong, use a search bar and try to find the answer among similar questions.
Search for Other Answers