Solve the equation below by factoring. 2 x 2 = 74 x 2 x ^ { 2 } = 74 x 2 x 2 = 74 x A) − 37 - 37 − 37 , 37B) 37C) 148 148 148 D) 0 , 74 0,74 0 , 74 E) 0 , 37 0,37 0 , 37

Question

Solve the equation below by factoring.   2 x 2 = 74 x 2 x ^ { 2 } = 74 x 2 x 2 = 74 x A)    − 37 - 37 − 37   , 37B) 37C)    148 148 148 D)    0 , 74 0,74 0 , 74 E)    0 , 37 0,37 0 , 37

Hayley Hernandez · Accepted Answer

Final Answer : E, Explanation :   Firstly, we need to get all the terms to one side of the equation and then factor it. 2 x 2 = 74 x 2 x 2 − 74 x = 0 2 x ( x − 37 ) = 0  2x^2 & =74x\2x^2-74x & =0\2x(x-37) & =0\  2 x 2 2 x 2 − 74 x 2 x ( x − 37 ) ​ = 74 x = 0 = 0 ​ By the zero product property, we know that if the product of two factors is zero, then at least one of the factors must be zero. So we can set each factor to zero and solve for x: 2 x = 0 or x − 37 = 0 x = 0 or x = 37  2x & =0 \qquad 	ext{or} \qquad x-37=0\x & =0 \qquad 	ext{or} \qquad x=37\  2 x x ​ = 0 or x − 37 = 0 = 0 or x = 37 ​ Therefore, the solutions are x=0 and x=37. The best choice is E because it includes the correct solution(s) and no extraneous solutions.

Solve the equation below by factoring. $2 x ^ { 2 } = 74 x$

A) $- 37$ , 37
B) 37
C) $148$
D) $0, 74$
E) $0, 37$

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Solve the equation below by factoring. 2x2=74x2 x ^ { 2 } = 74 x2x2=74x A) −37- 37−37 , 37B) 37C) 148148148 D) 0,740,740,74 E) 0,370,370,37

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Related questions

Solve the equation below by factoring. $2 x ^ { 2 } = 74 x$

A) $- 37$ , 37
B) 37
C) $148$
D) $0, 74$
E) $0, 37$