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Q 5 2 sum do it fast and I will mark brainliest
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Let the digit in the tens position be x, and the unit digit be y.
The number would be represented as 10x + y
10x + y + 54 = 10y + x
but y = x2
So our equation turns to,
10x + x2 + 54 = 10x2 + x
If we rearrange the equation by collecting like terms, we get a quadratic equation in the form of
9x2 - 9x - 54 = 0
Divide through by 9,
x2 - x - 6 = 0
x2 + 2x - 3x - 6 = 0
x(x + 2) - 3(x+2) = 0
(x+2) (x-3) = 0
x+2 = 0 or x-3 = 0
x = -2 or x = 3
Now x can't be negative, so x, the digit in the tens position equals 3
y = x2
y = 3^2 = 9
So our number is 39
To confirm,
39 + 54 = 93
The number would be represented as 10x + y
10x + y + 54 = 10y + x
but y = x2
So our equation turns to,
10x + x2 + 54 = 10x2 + x
If we rearrange the equation by collecting like terms, we get a quadratic equation in the form of
9x2 - 9x - 54 = 0
Divide through by 9,
x2 - x - 6 = 0
x2 + 2x - 3x - 6 = 0
x(x + 2) - 3(x+2) = 0
(x+2) (x-3) = 0
x+2 = 0 or x-3 = 0
x = -2 or x = 3
Now x can't be negative, so x, the digit in the tens position equals 3
y = x2
y = 3^2 = 9
So our number is 39
To confirm,
39 + 54 = 93
riyamv26:
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hope it's correct and helps u
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