if the sum of two number is 14 and multiplication is 40 then find their difference
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if the sum of two number is 14 and multiplication is 40 then find their difference
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Answer: difference=6 or -6
Step-by-step explanation:
let one no. be a
let another no. be b
a.t.q.,
⇒ a+b=14 ---------------------------(i)
⇒ a*b=40 ---------------------------(ii)
⇒ b=14-a
putting value of b in eq. (ii), we get,
⇒a*(14-a)=40
⇒14a-a²=40
⇒a²-14a+40=0
⇒a²-10a-4a+40=0
⇒a(a-10)-4(a-10)=0
⇒(a-4)(a-10)=0
so, a=4,10
a+b=14 | a+b=14
b=14-4 | b=14-10
b=10 | b=4
now we will take values of a and b one by one=
a-b=10-4=6 or a-b=4-10=-6
Answer:
Step-by-step explanation:
Let the two numbers be x and y
Therefore x + y = 14
xy = 40
Let us square this equation
Therefore,
x - y = 6