4. Express (x + 5)2 + (x – 2)2 = 37 In Standard Form A. 2×2 – 10x + 10 = 0 C. 2×2 + 4x – 1…

4. Express (x + 5)2 + (x – 2)2 = 37 in standard form

A. 2×2 – 10x + 10 = 0
C. 2×2 + 4x – 10 = 0
B. 2×2 – 6x + 8 = 0
D. 2×2 + 6x – 8= 0

SOLVE
NONSENSE ➜ REPORT​

Solution:

[tex] {(x + 5)}^{2} + {(x – 2)}^{2} = 37 \\ ( {x}^{2} + 10x + 25) + ({x}^{2} – 4x + 4) = 37 \\ 2 {x}^{2} + 6x + 29 = 37 \\ 2{x}^{2} + 6x + 29 – 37 = 37 – 37 \\ 2 {x}^{2} + 6x – 8 = 0[/tex]

Answer: D.

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