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4) Which one of the following equations is set up for direct use of the zero-factor property? A) 4x^2-5x-6=0 B) (4x-5)(y-6)=0 c) (4x-5)^2+6 D sqrt (2)-x+6

Pergunta

4) Which one of the following equations is set up for direct use of the zero-factor property?
A)
4x^2-5x-6=0
B) (4x-5)(y-6)=0
c) (4x-5)^2+6
D sqrt (2)-x+6

4) Which one of the following equations is set up for direct use of the zero-factor property? A) 4x^2-5x-6=0 B) (4x-5)(y-6)=0 c) (4x-5)^2+6 D sqrt (2)-x+6

Solução

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DanielElite · Tutor por 8 anos

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The correct answer is B) $(4x-5)(y-6)=0$. This equation is set up for direct use of the zero-factor property. The zero-factor property states that if the product of two factors is zero, then at least one of the factors must be zero. In this case, for the equation to be true, either $(4x-5)$ must be zero or $(y-6)$ must be zero. This allows us to solve for the variables $x$ and $y$ by setting each factor equal to zero and solving the resulting equations.
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