Solve the equation below by factoring. x 2 − 49 = 0 x ^ { 2 } - 49 = 0 x 2 − 49 = 0 A) x = − 7 x = - 7 x = − 7 and x = 7 x = 7 x = 7 B) x = 7 x = 7 x = 7 C) x = − 7 x = - 7 x = − 7 D) x = 0 x = 0 x = 0 and x = 7 x = 7 x = 7 E) x = − 7 x = - 7 x = − 7 and x = 0 x = 0 x = 0

Question

Solve the equation below by factoring.   x 2 − 49 = 0 x ^ { 2 } - 49 = 0 x 2 − 49 = 0 A)    x = − 7 x = - 7 x = − 7   and   x = 7 x = 7 x = 7 B)    x = 7 x = 7 x = 7 C)    x = − 7 x = - 7 x = − 7 D)    x = 0 x = 0 x = 0   and   x = 7 x = 7 x = 7 E)    x = − 7 x = - 7 x = − 7   and   x = 0 x = 0 x = 0

Hallie Moffitt · Accepted Answer

Final Answer : A, Explanation :   We can factor the equation as: x 2 − 49 = 0 ⇒ ( x − 7 ) ( x + 7 ) = 0 x ^ { 2 } - 49 = 0 \Rightarrow (x-7)(x+7)=0 x 2 − 49 = 0 ⇒ ( x − 7 ) ( x + 7 ) = 0 Using the zero product property, we get: x − 7 = 0  or  x + 7 = 0 x-7=0 	ext{ or } x+7=0 x − 7 = 0  or  x + 7 = 0 which gives us: x = 7  or  x = − 7 x=7 	ext{ or } x=-7 x = 7  or  x = − 7 Thus, the answer is choice A.

Solve the equation below by factoring. $x ^ { 2 } - 49 = 0$

A) $x = - 7$ and $x = 7$
B) $x = 7$
C) $x = - 7$
D) $x = 0$ and $x = 7$
E) $x = - 7$ and $x = 0$

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Solve the equation below by factoring. x2−49=0x ^ { 2 } - 49 = 0x2−49=0 A) x=−7x = - 7x=−7 and x=7x = 7x=7 B) x=7x = 7x=7 C) x=−7x = - 7x=−7 D) x=0x = 0x=0 and x=7x = 7x=7 E) x=−7x = - 7x=−7 and x=0x = 0x=0

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Learning Objectives

Learning Objectives

Related questions

Solve the equation below by factoring. $x ^ { 2 } - 49 = 0$

A) $x = - 7$ and $x = 7$
B) $x = 7$
C) $x = - 7$
D) $x = 0$ and $x = 7$
E) $x = - 7$ and $x = 0$