If a + b = 7 and ab = 12 find the value of (a² - ab + b2)
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Step-by-step explanation:
In question it is given that :a+b=7
from here , we can find the value of a by:
a=7-b
it is also given: ab=12
putting the value of a
(7-b)×b=12
7b-b^2=12
shifting it to the right hand side
0=b^2-7b+12
0=b^2-4b-3b+12
0=b(b-4)-3(b-4)
0=(b-4)(b-3)
from here we get two values of b
b-4=0 and b-3=0
b=4 and b=3
a=7-b=7-4=3 and also you can take another value of b
now putting the value of a and b
(3)^2-12+(4)^2
9-12+16
25-12
=13 ans.
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