Within 11 years, the age of Peter will be half the square of the age he was 13 years ago. Calculate the current age of Peter.
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Step-by-step explanation:
304033: Within 11 years, the age of Peter will be half the square of teh age he was 13 years ago. Calculate the current age of peter.
Answer by JBarnum(2146) (Show Source): You can put this solution on YOUR website!
P%2B11=%281%2F2%29%28P-13%29%5E2
P%2B11=%281%2F2%29%28P%5E2-26p%2B169%29
2%28P%2B11%29=%281%2F2%29%282%29%28P%5E2-26p%2B169%29
2P%2B22=P%5E2-26p%2B169
0=P%5E2-28p%2B147 -7 and -21
%28P-7%29%28P-21%29=0
P=7,21 cant be 7 as 13 years from 7 is negative
so peter is highlight%2821%29
checking
21%2B11=32
32=%281%2F2%29%2821-13%29%5E2
32=%281%2F2%29%288%29%5E2
32=%281%2F2%2964
32=32 correct
Answer:
Within 11 years, the age of Peter will be half the square of the age he was 13 years ago. Calculate the current age of Peter.
Current age x
Age 13 years ago: x − 13
Age within 11 years: x + 11
x+11=(x-13)^2/2
2x+22=x^2-26x+169
x^2-28x+147=0
x=21
Therefore, present age of Peter is 21 yrs.
Hope it helps!