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Felipe Marvin
Lvl 10
∙ 3y agoThis answer is:
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lenpollock
Lvl 15
∙ 1y agoLet the number be 'm' & 'n'
Hence
mn = 8
m + n = -15
Hence
m = -n - 15
Substitute
(-n - 15) n = 8
Multiply out the brackets
-n^2 - 15n = 8
Equate to zero .
n^2 + 15n + 8 = 0
It is now in quadratic form, and does not factor. Hence use the Quadratic Eq'n.
n = {-15 +/-sqrt[(15^2 - 4(1)(8)]} / 2(1)
n = { -15 +/-sqrt[225 - 32]} / 2
n = {-15 +/-sqrt[193]}/2
n= {-15 +/-13.892... } /2
n = -28.892... /2 & -1.1075... /2
n = -14.446... & -0.55375 are the two answers.
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