Find the best solutions to your questions at Westonci.ca, the premier Q&A platform with a community of knowledgeable experts. Join our Q&A platform to get precise answers from experts in diverse fields and enhance your understanding. Get immediate and reliable solutions to your questions from a community of experienced professionals on our platform.
Sagot :
Answer:
[tex]x \: = \: \boxed{ \bold{ - 4 }}\: \: \text{or} \: \: x \: = \: \boxed{ \bold{ 8}}[/tex]
Step-by-step explanation:
[tex](x \: - \: 2 {)}^{2} \: + \: 2 \: = \: 38[/tex]
[tex] {x}^{2} \: - \: 4x \: + \: 4 \: + \: 2 \: = \: 38[/tex]
[tex] {x}^{2} \: - \: 4x \: + \: 6 \: = \: 38[/tex]
[tex] {x}^{2} \: - \: 4x \: + \: 6 \: - \: 38 \: = \: 0[/tex]
[tex] {x}^{2} \: + \: 4x \: - \: 8x \: - \: 32 \: = \: 0[/tex]
[tex]x \: \times \: (x \: + \: 4) \: - \: 8(x \: + \: 4) \: = \: 0[/tex]
[tex](x \: + \: 4) \: \times \: (x \: - \: 8) \: = \: 0[/tex]
- When it happens that the product of the factors is the same as zero. It is divided into two possible cases.
[tex]x \: + \: 4 \: = \: 0 \\ x \: - \: 8 \: = \: 0[/tex]
- We solve the two equations:
[tex]x \: = \: - 4 \\ x \: = \: 8[/tex]
Answer:
[tex]x \: = \: - 4 \\ x \: = \: 8[/tex]
MissSpanish
We hope this was helpful. Please come back whenever you need more information or answers to your queries. We hope this was helpful. Please come back whenever you need more information or answers to your queries. Get the answers you need at Westonci.ca. Stay informed with our latest expert advice.