Question

if (a+b)=8 and ab=15 find the value of (a²+b²)

BRAINLISTS PLEASE GIVE ANSWERS PLEASE

​

Answer 1

Answer =34

Refer to the attached image for answer.

Answer 2

Answer:

Step-by-step explanation:

ab = 15............ (equation 1)

(a + b ) = 8

Squaring both sides

$(a+b)^{2} = 8^{2} \\\\\a^{2} + b^{2} + 2ab = 64\\a^{2} + b^{2} = 64 - 2ab$

Put value of (ab) = 15 from equation (1)

$a^{2} + b^{2} = 64 - 2*15\\a^{2} + b^{2} = 64-30\\a^{2} + b^{2} = 34$

Hope you get it well