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Semenov [28]
2 years ago
8

Which equation is equivalent to

Advanced Placement (AP)
2 answers:
valkas [14]2 years ago
8 0

GIVEN:

  • 25x² + 10x = 11

ANSWER:

[i] (5x + 1)² = 11

25x² + 1 + 10x = 11

25x² + 10x = 10 ✘

[ii] (5x + 5)² = 16

25x² + 25 + 50x = 16

25x² + 50x = 9 ✘

[iii] (5x + 1)² = 12

25x² + 1 + 10x = 12

25x² + 10x = 11 ✔

Semmy [17]2 years ago
3 0

Answer:

Solution given;

2x²+10x=11

• (5x + 1)²= 11

25x²+10x+1=11

25x²+10x=10[not equivalent]

•(5x + 5)²= 16

25x²+50x+25=16[not equivalent]

<u>•(5x + 1)²= 12</u>

<u>•(5x + 1)²= 1225x²+10x+1=12</u>

<u>•(5x + 1)²= 1225x²+10x+1=1225x²+10x=11[equivalent]</u>

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