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${\begin{cases} a^{2} - b^{2} = 400 \\ a - b = 10 \end{cases}$
(2) Determinier les reels $a$ et $b$ ?

Answer

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Answer

$a = 25, b = 15$

Steps

Step 1 ：Solve the second equation for a: $a = b + 10$

Step 2 ：Substitute the expression for a into the first equation: $(b + 10)^{2} - b^{2} = 400$

Step 3 ：Solve the equation for b: $b = 15$

Step 4 ：Find the value of a: $a = 15 + 10 = 25$

Step 5 ： $a = 25, b = 15$