Question

If a+b= 15 and a.b=45, so find the value of a²+b²

Answer 1

Answer:

${a}^{2} + {b}^{2} \\ (a + b {)}^{2} = {a}^{2} + {b}^{2} + 2ab \\ (15 {)}^{2} = {a}^{2} + {b}^{2} + 2(45) \\ 225 = {a}^{2} + {b}^{2} + 90 \\ 225 - 90 = {a}^{2} + {b}^{2} \\ 135 = {a}^{2} + {b}^{2} \\ {a}^{2} + {b}^{2} = 135$

I hope it will help you

Answer 2

Answer:

135

Step-by-step explanation:

Given a+b=15

then (a+b)^2 =a^2+b^2 +2ab

=(15)^2=a^2+b^2+2×45

=225=a^2+b^2+90

so, a^2+b^2=225-90=135 Ans.

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