Question

Anyone in 9th plzzz ans my question​
If a+b=5 ab = 6 Find a square + b square

Answer 1

Answer:

a+b=5

so a=5-b

now substitute

(5-b)b=6

5b-b²=6

you have a quadratic equation now solve it

b= 2,3

now 2 case will form

case 1

b=2

so a=3

so a²+b²=9+4=13

case 2

b=3

so a= 2

so a²+b²=4+9=13

hence both values of a and b gives same answer so both the cases are satisfying so your final answer will be 13

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Answer 2

Step-by-step explanation:

$a + b = 5 \\ ab = 6$

squaring on both sides we get

$(a + b)^{2} = 25 \\ {a}^{2} + {b}^{2} + 2ab = 25$

${a}^{2} + {b}^{2} + 2 \times 6 = 25 \\ {a}^{2} + {b}^{2} + 12 = 25$

p

${a}^{2} + {b}^{2} = 25 - 12 = 13$

${a}^{2} + {b}^{2} = 13$