Divide 12 into two parts such that their product is 32.
thanks for explaining briefly
8+4=128*4=32
4 nd 8
DIVIDE 12 INTO TWO PARTS SUCH THAT THEIR PRODUCT IS 32
DIVIDE 12 INTO TWO PARTS SUCH THAT THEIR PRODUCT IS 32
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Divide 12 into two parts such that their product is 32.
Divide 12 into two parts such that their product is 32.
Let the first number be ‘X’, so the other number will be ’(12–X)’.
∵ X (12 – X) = 32
12X – X2 = 32
X2 – 12X + 32 = 0
On factorising further,
X2 – 4X – 8X + 32 = 0
X(X – 4) – 8(X – 4) = 0
(X – 4)(X – 8) = 0
So, X = 4 or 8
∴ The numbers are 4 and 8.