已知a-b=6,ab=-6求a^2+b^2的值
问题描述:
已知a-b=6,ab=-6求a^2+b^2的值
答
(a-b)²-2ab=6²+2*(-6)=24
答
a^2+b^2=a^2+b^2-2ab+2ab
=(a-b)^2+2ab
=6^2+2(-6)
=36-12
=24
答
a^2+b^2
=(a-b)^2 +2ab
=6^2+2x(-6)
=36-12
=24
答
已知a-b=6,ab=-6
a^2+b^2=24
答
a-b=6
(a-b)²=36
a²-2ab+b²=36
ab=-6
a²+b²=36+2ab
=36-12
=24