Question

find the value of a^2+b^2 when a+b=6 and ab=3​

Answer 1

$if \: a + b = 6 \: and \: ab = 3.$

$then \: {a}^{2} + {b}^{2}$

$we \: know \: {(a + b)}^{2} = {a}^{2} +2ab + {b}^{2}$

${(6)}^{2} = {a}^{2} + 2(3) + {b}^{2}$

$36 = {a}^{2} + 6 + {b}^{2}$

${a}^{2} + {b}^{2} = 36 - </strong><strong>6</strong><strong> </strong><strong> </strong><strong> </strong><strong> </strong><strong> </strong><strong> </strong><strong> </strong><strong> </strong><strong> </strong><strong> </strong><strong> </strong><strong> </strong><strong> </strong><strong> </strong><strong> </strong><strong> </strong><strong> </strong><strong> </strong><strong> </strong><strong> </strong><strong> </strong><strong> </strong><strong> </strong><strong> </strong><strong> </strong><strong> {a}^{2} + {b}^{2} = 30$

Therefore, solved

Answer 2

Answer:

ans=30

Step-by-step explanation:

refer image

hope this helps