展开 112(((x+2)^2)/7+((y+5)^2)/(16)=1)

解答

展开

112 (\frac{( x + 2 ) ^{2}}{7} + \frac{( y + 5 ) ^{2}}{16} = 1)

16 x^{2} + 64 x + 7 y^{2} + 70 y + 239 = 1

求解步骤

112 (\frac{( x + 2 ) ^{2}}{7} + \frac{( y + 5 ) ^{2}}{16} = 1)

= 112 (\frac{( x + 2 ) ^{2}}{7} + 1 = \frac{( y + 5 ) ^{2}}{16})

使用分配律:

a (b + c) = ab + a c

a = 112, b = \frac{( x + 2 ) ^{2}}{7}, c = \frac{( y + 5 ) ^{2}}{16} = 1

112 \cdot \frac{( x + 2 ) ^{2}}{7} + 112 \cdot \frac{( y + 5 ) ^{2}}{16} = 1

乘开

112 \cdot \frac{( x + 2 ) ^{2}}{7} + 112 \cdot \frac{( y + 5 ) ^{2}}{16} : 16 x^{2} + 64 x + 7 y^{2} + 70 y + 239

16 x^{2} + 64 x + 7 y^{2} + 70 y + 239 = 1

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