Question

❗❕Find two natural numbers whose sum is 50 and product is 525❗❕

From prombrlems on quadratic equations

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Answer 1

Answer:

Hey there !!

let the required no. be x and y

so according to the question

=> x+ y = 50 -------(1)

and => xy = 525 -------(2)

so put y = 525/x in eqn (1)

we get ,

=> x + 525/x = 50

=> x^2 + 525 = 50x

=> x^2 -50x +525 = 0

=> x^2 -35x -15x + 525 =0

=> x(x-35) -15(x-35) =0

=> (x-35)(x-15) = 0

=> x-35 = 0 or x-15 = 0

=> x = 35 , 15

# so the required number is 35 and 15

#rishit

Answer 2

Answer:

Let the required numbers are x and y.

So, according to the question

• x+ y = 50 -------(1)

&

• xy = 525 -------(2)

So,

put y = 525/x in eqn (1)

we get ,

• x + 525/x = 50
• x²+ 525 = 50x
• x² -50x +525 = 0
• x²-35x -15x + 525 =0
• x(x-35) -15(x-35) =0
• (x-35)(x-15) = 0
• x-35 = 0 or x-15 = 0
• x = 35 , 15

Those numbers are 35 & 15.