Answer:
1. x= 3, -7
2. x= 7, 1
Step-by-step explanation:
1. x^2+4x-21=0
x^2+4x=21
x^2+4x+4=21+4
x^2+4x+4=25
√(x+2)^2=25
x+2=+/-√25
x+2=+/-5
x+2=5 or x+2=-5
x=5-2 x=-5-2
x=3 x=-7
2. 2m^2-16m=-14
2
m^2-8x=-7
m^2-8x+16=-7+16
m^2-8x+16=9
√(m-4)^2=9
m-4=+/-√9
m-4=+/-3
m-4=3 or m-4=-3
m=3+4 m=-3+4
m=7 m=1
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Answers & Comments
Answer:
1. x= 3, -7
2. x= 7, 1
Step-by-step explanation:
1. x^2+4x-21=0
x^2+4x=21
x^2+4x+4=21+4
x^2+4x+4=25
√(x+2)^2=25
x+2=+/-√25
x+2=+/-5
x+2=5 or x+2=-5
x=5-2 x=-5-2
x=3 x=-7
2. 2m^2-16m=-14
2
m^2-8x=-7
m^2-8x+16=-7+16
m^2-8x+16=9
√(m-4)^2=9
m-4=+/-√9
m-4=+/-3
m-4=3 or m-4=-3
m=3+4 m=-3+4
m=7 m=1