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2 answers:
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Answer:
The roots of the equation are and
Step-by-step explanation:
The roots of a quadratic equation y = ax² + bx + c are the values of x at y = 0
∵ y = x² + 2
- To find the roots of it equate y by 0
∴ 0 = x² + 2
- Switch the two sides
∴ x² + 2 = 0
- Subtract 2 from both sides
∴ x² = -2
- Take √ for both sides
∴ x = ±
- There is no square root for negative numbers
∴ There is no real roots for this equation but there are imaginary roots
∵
∴
- Substitute by
∴
∴
∴ The roots of the equation are and
Answer:
The volume of the dilated prism is .
Step-by-step explanation:
The original prism has base area and a height of
.
The volume of the original prism is .
The prism is dilated by a scale factor of .
To find the volume of the dilated prism, we multiply the volume of the original prism by .