Find two consecutive odd integers whose product is 899

Mathematics

1 answer:

UNO [17]3 years ago

6 0

Answer:

Step-by-step explanation:

Let two consecutive odd numbers

x, x+2

According to condition

X(x+2) = 899

x2 +2x -899=0

X2 +31x -29x -899=0

x(x+31) -29(x+31)=0

(x+31)(x-29)=0

X=-31 or x =29

Now,

X=29

X+2= 29+2 = 31

Two consecutive odd numbers is 29 and 31

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