Question

Which equation is equivalent to

25x2 + 10x = 11
• (5x + 1)2 = 11
•(5x + 5)2 = 16
•(5x + 1)2 = 12

Answer 1

• 25x²+10x=11

Try using completing square

• (5x)²+2(5x)(1)+1=11
• (5x+1)²=10

No

Check B

• (5x+5)²=16
• 25x²+50x+25=16
• 25x²+50x=-11

No

Check C

• (5x+1)²=12
• 5x²+10x+1=12
• 5x²+10x=11

Yes

Answer 2

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]

•(5x + 1)²= 12

•(5x + 1)²= 1225x²+10x+1=12

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