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The application of mathematical unary quadratic equation
1: Let: Decimal number is 10X, and unit number is X. Solution: 10X+2X=(2X) square.

Square of 4X = 12X: 4X= 12 X=3.

10×3+2×3=36 A: This two-digit number is 36.

Another is: suppose the decimal digit is 10(X-3) and the unit digit is X. 。

Solution: x squared = 10 (x-3)+x squared = 10x-30+x squared-1x+30 = 0.

Cross multiplication solution: (X-5), (X-6)=0.

X 1=5 X2=6 Both are roots.

10×(5-3)+5= 25 10×(6-3)+6=36。

2. Suppose that this number is X. Solution: X+(X 1/2) square =8 X+X 1/4 square =8.

X 1/4 square +X-8=0 Two sides multiplied by 4: x square +4X-32=0.

The solution of cross multiplication: (X+8)(X-4) =0 X 1=-8 is irrelevant.

X2=4

This number is 4.