Question

WO
18. If (x + a) (x + b) = x2 + 7x + 10, find the
following
A. a² + b²
B. (a - b)2​

Answer 1

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1) a²+b² = 29

2) (a-b)² = 9

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Answer 2

Answer:

A:29

B:9

Step-by-step explanation:

(x+b)(X+a)=x^2+7x+10

x^2+X(a+b)+ab=x^2+7x+10

x(a+b)+ab=7x+10

compare both side

a+b=7

ab=10

so a=5 or 2

b=5 or 2

a^2+b^2= 5^2+2^2=29

(a-b)^2=3^2=9