Solve the equation by the zero-factor property.
-Which one of the following equations is set up for direct use of the square root property?
A) $3 x ^ { 2 } + 5 x + 7 = 0$
B) $( 3 x + 5 ) ^ { 2 } = 7$
C) $x ^ { 2 } + x = 7$
D) $( 3 x + 5 ) ( x + 7 ) = 0$

Question

Solve the equation by the zero-factor property.
-Which one of the following equations is set up for direct use of the square root property? 
A) $3 x ^ { 2 } + 5 x + 7 = 0$
B) $( 3 x + 5 ) ^ { 2 } = 7$
C) $x ^ { 2 } + x = 7$
D) $( 3 x + 5 ) ( x + 7 ) = 0$

Quizplus · Accepted Answer

The square root property can be directly used when an equation is in the form $x^2 = a$, or something squared equals a constant. Choice B, $(3x + 5)^2 = 7$, is already in this form, allowing for the direct application of the square root property.

Solve the Equation by the Zero-Factor Property 3x2+5x+7=03 x ^ { 2 } + 5 x + 7 = 03x2+5x+7=0

Solve the Equation by the Zero-Factor Property $3 x ^ { 2 } + 5 x + 7 = 0$