若a^2-b^2=24,a+b=6,求a-b,ab的值.

若a^2-b^2=24,a+b=6,求a-b,ab的值.
若a^2-b^2=24,a+b=6,求a-b,ab的值.

若a^2-b^2=24,a+b=6,求a-b,ab的值.
a-b
=(a^2-b^2)/(a+b)
=24/6
=4
(a+b)^2-(a-b)^2=4ab
=6^2-4^2
=20
ab=20/4=5

a-b
=(a^2-b^2)÷(a+b)
=24÷6
=4
4ab
=(a+b)^2-(a-b)^2
=36-16
=20
ab=20÷4=5

a^2-b^2=(a-b)(a+b)
24=6(a-b)
a-b=4
a+b=6
a-b=4
解得、
a=5
b=1
ab=5*1=5

a²-b²=24
(a+b)(a-b)=24
a-b=24÷6=4
(a+b)²-(a-b)²
=4ab
=36-16
=20
ab=20÷4=5

a-b=4;ab= 5