Question

can someone help me with this question

Answer 1

number 19

Answer 2

\[\sqrt{4m ^{2}-3m+2}-2m-5=0\]

Answer 3

\[\sqrt{4m ^{2}-3m+2}=2m+5\]

Answer 4

Square both sides:
\[4m ^{2}-3m+2=4m ^{2}+20m+25\]

Answer 5

\[-3m+2=20m+25\]

Answer 6

\[-23m=23\]
\[m=-1\]

Answer 7

number 21

Answer 8

\[\sqrt{a+21}-1=\sqrt{a+21}\]

Answer 9

Square both sides

Answer 10

\[a+21-2\sqrt{a+21}+1=a+21\]

Answer 11

\[-2\sqrt{a+21}=-1\]

Answer 12

Square both sides again

Answer 13

4(a+21)=1
4a+84 = 1
4a = -83
a= - 83/4

Answer 14

But this answer doesn't check so there is no solution.