求满足Y的四次方加2X的四次方加1-搜答案-智慧作业帮

(-2/x²)²+(-2/x²)-3=0(y²)²+y²-3=0所以-2/x²和y²是方程a²+a-3=0的根

2x²y²-x的4次方-y的4次方=-(x的4次方-2x²y²+y的4次方)=-[(x²)²-2x²y²+(y²

x⁴-2y⁴-2x³y+xy³=(x+y)(x-2y)(x²-xy+y²)

先把X四次方-2Y四次方-3XY二次方+X二次方Y+2XY二次方+3Y四次方合并同类项,也就是X四次方+Y四次方-XY二次方+X二次方Y,提取负号变成（X四次方+Y四次方）-（XY二次方-X二次方Y）

y'=4sin³xcosx-4cos³xsinx

y=sin^4x+cos^4x=(sin^2x)^2+(cos^2x)^2=(sin^2x)^2+2sin^2x*cos^2x+(cos^2x)^2-2sin^2x*cos^2x=(sin^2x+co

令2/x²=X,则X²-X-3=0（X>0）,解得X=（1+√13）/2令y²=Y,则Y²+Y-3=0（Y≥0）,解得Y=（-1+√13）/2X²+Y

由已知可得：y^4+2x^4-4x^2y+1=0所以y^4-2y^2+1+2(x^4-2x^2y+y^2)=0(y^2-1)^2+2(x^2-y)^2=0从而y^2=1并且x^2=yy=1时,x=1或

先分解因式,后乘法.(X^4-Y^4)/(X^3+X^2Y+XY^2+Y^3)=(X-Y)(X+Y)(X^2+Y^2)/(X^3+X^2Y+XY^2+Y^3)=(X-Y)(X^3+X^2Y+XY^2+

(2x^4)y³－x³y^4=(x³y³)(2x－y)=(xy)³(2x－y)=4³×(1/16)=4

1/(x^4)+4/(y^4)xy=1,所以y=1/x即y^4=1/（x^4）代入原式,得到1/(x^4)+4(x^4)再由重要不等式,得到1/(x^4)+4(x^4)≥2(根号)1/(x^4)·4(

x的四次方-3x的平方y的平方+2y的四次方=(x²)²-3x²y²+2(y²)²=(x²-y²)(x²-2y

x的四次方+x²y²-2y的四次方=(x²+2y²)(x²-y²)=(x+y)(x-y)(x²+2y²);很高兴为您解答

x^4+y^4=x^4+2x^2y^2+y^4-2x^2y^2=(x^2+y^2)^2-2x^2y^2=(x^2+y^2+√2*xy)(x^2+y^2-√2*xy)

方法一：x^4＋y^4＋（x＋y）^4＝（x^4＋2x^2y^2＋y^4）－2x^2y^2＋（x^2＋2xy＋y^2）^2＝［（x^2＋y^2）^2－（xy）^2］＋［（x^2＋y^2＋2xy）^2－

y-2x=-20102x-y=20102x^4y³-x³y^4=x³y³(2x-y)=(xy)³(2x-y)=10³×2010=201000

x的立方加y的立方等于459,x的四次方加y的四次方等于3621,再问：肯定要再答：其实不难x+y=9xy=10(x+y)平方=x方+y方+2xy则x方+y方=61后边x方写成xx,其他同理，切中英文

x²+2xy+y²+x⁴-y⁴=(x+y)²+(x²+y²)(x²-y²)=(x+y)²+(x&

2的4次方-x的4次方=(2²+x²)(2²-x²)=(4+x²)(2+x)(2-x)很高兴为您解答,【学习宝典】团队为您答题.请点击下面的【选为满意