If x^2 is added to x, the sum is 42. Which of the following could be the value of x? A. -7  B. -6   C. 14  D. 42

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justaguide | College Teacher | (Level 2) Distinguished Educator

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When x^2 is added to x the sum is 42.

x^2 + x = 42

=> x^2 + x - 42 = 0

=> x^2 + 7x - 6x - 42 = 0

=> x(x + 7) - 6(x + 7) = 0

=> (x + 7)(x - 6) = 0

x = -7 and x = 6

One possible value of x is -7.

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