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Sub 505 (Easy)|   Algebra|      
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guddo
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If (x + 3)^2 = y, then in terms of y, x^2 + 6x + 17 = 28 Jan 2024, 15:24
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89% (00:55) correct 11% (01:25) wrong based on 438 sessions

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If \((x + 3)^2 = y\), then in terms of y, \(x^2 + 6x + 17 =\)

A. y - 14
B. y - 8
C. y + 3
D. y + 8
E. y + 14

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If (x + 3)^2 = y, then in terms of y, x^2 + 6x + 17 = 28 Jan 2024, 15:27
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guddo
If \((x + 3)^2 = y\), then in terms of y, \(x^2 + 6x + 17 =\)

A. y - 14
B. y - 8
C. y + 3
D. y + 8
E. y + 14

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2024-01-29_02-18-48.png
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Completing the square for \(x^2 + 6x + 17\), we get:

    \(x^2 + 6x + 9 + 8 =\)

    \(=(x + 3)^2 + 8\)

Since \((x + 3)^2 = y\), we get:

    \((x + 3)^2 + 8 = y + 8\).

Answer: D.
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If (x + 3)^2 = y, then in terms of y, x^2 + 6x + 17 = 29 Jan 2024, 10:04
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x^2+6x+9=y
x^2+6x=y-9
x^2+6x+17=y-9+17=y+8

or x^2+6x+17=(x+3)^2+8
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If (x + 3)^2 = y, then in terms of y, x^2 + 6x + 17 = 15 Mar 2025, 04:53
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guddo
If \((x + 3)^2 = y\), then in terms of y, \(x^2 + 6x + 17 =\)

A. y - 14
B. y - 8
C. y + 3
D. y + 8
E. y + 14

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A quick way to do this would be to expand the expression and see what y is equal to:

y is equal to \((x + 3)^2\) = \(x^2 + 6x + 9\)

If the only difference between \(x^2 + 6x + 9\) and \(x^2 + 6x + 17\) is 8, that's all we need to add to y

y + 8

(D) is your answer.
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If (x + 3)^2 = y, then in terms of y, x^2 + 6x + 17 = 16 Mar 2025, 01:39
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guddo
If \((x + 3)^2 = y\), then in terms of y, \(x^2 + 6x + 17 =\)

A. y - 14
B. y - 8
C. y + 3
D. y + 8
E. y + 14

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Given:
\((x + 3)^2 = y\)
i.e. \(x^2 + 6x +9 = y\)

i.e. \(x^2 + 6x = y-9\)

Requirements:
\(x^2 + 6x + 17 =(y-9) +17 = y+8\)

Answer: Option D

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If (x + 3)^2 = y, then in terms of y, x^2 + 6x + 17 = 28 Jun 2026, 21:09
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