Question

Daca a si b sunt numere reale astfel incat a²=10+b² si a+b=5, atunci a-b este egal cu...

Answer 1

${a}^{2} = 10 + {b}^{2}$

${a}^{2} - {b}^{2} = 10$

$a + b = 5$

${a}^{2} - {b}^{2} = (a - b)(a + b)$

$(a - b)(a + b) = 10$

$5(a - b) = 10 \: | \div 5$

$a - b = 2$

Answer 2

a² = 10 + b²  si   a + b = 5

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a² - b² = 10

( a + b ) ( a - b ) = 10

5 × ( a - b ) = 10

a - b = 10 : 5

a - b = 2