2+6x=7
To write the Left Hand Side as a Perfect Square, we add 9 to both sides
x2+6x+9=7+9
x2+2⋅3⋅x+32=16
Using the Identity (a+b)2=a2+2ab+b2, we get
(x+3)2=16
x+3=+√16 or x+3=−√16
x=4−3orx=−4−3
x=1orx=−7
Answer:
x2+6x=7
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Verified answer
2+6x=7
To write the Left Hand Side as a Perfect Square, we add 9 to both sides
x2+6x+9=7+9
x2+2⋅3⋅x+32=16
Using the Identity (a+b)2=a2+2ab+b2, we get
(x+3)2=16
x+3=+√16 or x+3=−√16
x=4−3orx=−4−3
x=1orx=−7
Answer:
x2+6x=7
To write the Left Hand Side as a Perfect Square, we add 9 to both sides
x2+6x+9=7+9
x2+2⋅3⋅x+32=16
Using the Identity (a+b)2=a2+2ab+b2, we get
(x+3)2=16
x+3=+√16 or x+3=−√16
x=4−3orx=−4−3
x=1orx=−7