Question

If a+b=7,ab=6 find a^2+b^2

Answer 1

sorry ans in pic is wrong



a+b = 7
ab = 6

(a+b)² = a²+ b² +2ab

a² + b² = (a+b)² - 2ab

= (7)² - 2×6

a²+b² = 49 - 12

a²+b²= 37

Answer 2

Question:-

If a + b = 7 and ab = 6 , then a² + b² is equal to

Solution:-

Given,

a + b = 7

ab = 6

➣ ( a + b )² = a² + b² + 2ab

➣ ( 7 )² = a² + b² + 2(6)

➣ 49 = a² + b² + 12

➣ a² + b² = 49 - 12

➣ $\boxed{\bf{\color{yellw}{ \: {a}^{2} \: + \: {b}^{2} \: = \: 37 \: }}}$

Verification:-

➣ ( a + b )² = a² + b² + 2ab

➣ ( 7 )² = 37 + 2(6)

➣ 49 = 37 + 12

➣ $\boxed{\bf{\color{yellw}{ \: 49 \: = \: 49 \: }}}$