In which equation could 𝑥 be -4?A. 𝑥 (2 + 6) = − 2B. 𝑥2 − 6 = 10C. 𝑥2 + 8 = 2D. −𝑥2 − 10 = 6
Question
In which equation could 𝑥 be -4?
A. 𝑥 (2 + 6) = − 2
B. 𝑥^2 − 6 = 10
C. 𝑥^2 + 8 = 2
D. −𝑥^2 − 10 = 6
Solution
Let's substitute 𝑥 = -4 into each equation and see which one holds true.
A. 𝑥 (2 + 6) = − 2 Substitute 𝑥 = -4: -4 * (2 + 6) = -2 -4 * 8 = -2 -32 = -2 This is not true.
B. 𝑥2 − 6 = 10 Substitute 𝑥 = -4: (-4)^2 - 6 = 10 16 - 6 = 10 10 = 10 This is true.
C. 𝑥2 + 8 = 2 Substitute 𝑥 = -4: (-4)^2 + 8 = 2 16 + 8 = 2 24 = 2 This is not true.
D. −𝑥2 − 10 = 6 Substitute 𝑥 = -4: -(-4)^2 - 10 = 6 -16 - 10 = 6 -26 = 6 This is not true.
So, the only equation where 𝑥 could be -4 is B. 𝑥2 − 6 = 10.
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