The value of a = -20 and b = 5.
Let the numbers be a and b
a + b = -15 ...... i
a × b = -100 ....... ii
From equation i,
a = -15 - b ..... iii
Put equation iii into ii
a × b = -100
(-15 - b) × b = -100
-15b - b² = -100
-15b - b² + 100 = 0
b² + 15b - 100 = 0
b² + 20b - 5b - 100 = 0
b(b + 20) - 5(b + 20) = 0
b - 5 = 0
b = 0 + 5 = 5
a + b = -15
a + 5 = -15
a = -15 - 5
a = -20
Therefore, the value of a = -20 and b = 5.
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