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Helen [10]
4 years ago
7

What number must you add to complete the square x^2+2x=13

Mathematics
1 answer:
Sveta_85 [38]4 years ago
7 0
You must halve the linear coefficient and then square it.   In this case:

(2/2)^2=1 so you must add 1 to both sides of the equation...

x^2+2x+1=14 now the left side is a perfect square...

(x+1)^2=14
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the length of a rectangle is 9 centimeters more than the width. the area is 112 square centimeters. find the length and width of
NeX [460]
Here,
let width(b)be x then,
length (l)=9cm+x
area =112 sq cm
now,
area of rectangle=l*b
or, 112=(9+x)x
or, 112=9x+x^2
or, 0=x^2+9x-112
or, 0=x^2+(16-7)x-112
or, 0=x^2+16x-7x-112
or, 0=x(x+16)-7(x+16)
or, 0=(x-7)(x+16)
either,
0=x-7
or,7=x
x=7cm
Or,
0=x+16
or, -16=x
x= -16[impossible,as distance is never negative] so,
x=7cm
therefore,length = 7cm + 9 cm = 16cm and width = 7cm.
;)







8 0
4 years ago
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Step-by-step explanation:

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