Question

If a² + b² = 29 and ab = 10 then find the values of a and b.​

Answer 1

Answer:

7

Step-by-step explanation:

${a}^{2} + {b}^{2} = 29 \\ \\ ab = 10 \\ \\ {a}^{2} + {b}^{2} = {(a + b})^{2} - 2ab \\ \\ 29 = {(a + b)}^{2} -2 \times 10 \\ \\ = 29 + 20 = {(a + b)}^{2} \\ \\ a + b = \sqrt{49} \\ \\ = \sqrt{7 \times 7} \\ \\ 7 \\ \\ ab = 7$

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