To solve: y230=y15+12

diferira7c

diferira7c

Answered

2021-12-27

To solve: y230=y15+12

Answer & Explanation

limacarp4

limacarp4

Expert

2021-12-28Added 39 answers

Calculation:
Multiply by 30 on both sides,
30y230=(y15+12)30
By distributive property,
(y15+12)30=y1530+1230
(y15+12)30=2y+15
30y230=y2
y2=2y+15
Subtract 2y15 on both sides,
y22y15=2y+152y15
y22y15=0
Split the middle term 2y as 5y and +3y
Replace -2y with 5y+3y  y22y15=0,
y25y+3y15=0
The above equation can be written as yy5y+3335
Apply distributive property for first two terms and last two terms,
yy5y+3y35=y(y5)+3(y5)
Again apply distributive property for y(y5)+3(y5)
y(y5)+3(y5)=(y+3)(y5)
So the factors are (y+3) and (y5)
y22y15=(y+3)(y5)
To find the value of y,
Take y5=0
Add 5 on both sides,
y5+5=0+5
Add the like terms,
y=5
Take y+3=0
Subtract 3 on both sides,
y+33=03
Add the like terms,
y=3
The factors are y=3 and y=5
So, the values of y are -3 and 5.
sonorous9n

sonorous9n

Expert

2021-12-29Added 34 answers

y23030=y1530+1230
y2=2y+15
y215=2y+1515
y215=2y
y2152y=2y2y
y22y15=0
y1,2=(2)±(2)241(15)21
y1,2=(2)±821
y=(2)+821,y2=(2)821
y=(2)+821:5
y=(2)821:3
y=5,y=3
karton

karton

Expert

2022-01-09Added 439 answers

y230=y15+12y2=2y+15y22y=15y22y15=0a+b=2ab=151,153,5115=1435=2a=5b=3(y5)(y+3)y=5y=3

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