the sum of the numbers a and b is 9 and there product is 20, find a square- ab+b square
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13
Step-by-step explanation:
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Answered by
1
Answer:
21
Step-by-step explanation:
a+b=9(equation 1)
a*b=20(equation 2)
b=20/a(substitute in equation 1)
a+20/a=9
a^2+20=9a
a^2-9a+20=0
a^2-4a-5a+20=0
a(a-4)-5(a-4)=0
(a-5)(a-4)=0
a=5,4
a=5(substitute in equation 2)
(5)*b=20
b=20/5=4
given equation
a^2-ab+b^2
(5)^2-(5)(4)+(4)^2
25-20+16
41-20=
21
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