Respuesta :
On solving the algebraic equations, the two numbers that multiply to be 6 and add up to be -5 are -2 and -3.
What are algebraic equations?
An algebraic equation can be defined as a mathematical statement in which two expressions are set equal to each other. The algebraic equation usually consists of a variable, coefficients and constants.
Let the first number be x.
Let second number be y.
Given, x + y = -5
y = -5-x
Also, xy = 6
[tex]x(-5-x) = 6\\\\-5x -x^{2} =6\\\\x^{2} +5x+6 =0\\\\x^{2} +2x+3x+6=0\\\\x(x+2)+3(x+2)=0\\\\(x+2)(x+3)=0\\\\x = -2\ or\ -3[/tex]
Case 1:
x = -2
xy = 6
y = -3
Case 2:
x = -3
xy = 6
y = -2
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