Question

What is the value of v?
100 = (6-v)2 + 36
(6-v)2 = 100 - 36
(6-v)2 = 64
6-v = sqrt(64)

Answer 1

Answer: v=8

v=−2

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Answer 2

Answer:

(i) 100 = (6-v)^2+36

100=36-12v+v^2+36

100=72-12v+v^2

-12v+v^2=100-72

-12v+v^2=28

v^2-12v-28=0

v^2+2v-14v-28=0

v(v+2)-14(v+2)=0

(v-14)(v+2)=0

v-14=0

v=14

v+2=0

v=(-2)

(ii)(6-v)^2=100-36

36-12v+v^2=64

-12v+v^2=64-36

-12v+v^2=28

v^2-12v-28=0

v^2+2v-14v-28=0

v(v+2)-14(v+2)=0

(v-14)(v+2)=0

v=14

v=(-2)

(iii)(6-v)^2=64

36-12v+v^2=64

-12v+v^2=64-36

-12v+v^2=28

v^2-12v-28=0

v^2+2v-14v-28=0

v(v+2)-14(v+2)=0

(v+2)(v-14)=0

v=(-2)

v=14

(iv)(6-v)=√64

6-v=8

-v=8-6

-v=2

v=(-2)