Mathematics
Talal
17

what are the solutions to the equation 2x^2 - 2x - 12 = 0? a. x = -4, x = 3 b. x = -3, x = 4 c. x = -2, x = 3 d. x = -6, x = 2

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(1) Answers
redddeshay

2(x)^2 - 2(x) - 12 = ?    2(x)^2 - 2(x) - 12 (x)^2 - 6 - x Multiply ↪1 (-6) = -6 1 + -6 = -5 , right? -3 + 2 = -1, right? After we have pulled out the like terms we have to add/subtract!   x(x) - 3 Search for the common denominator 2(x) - 3 You can add up 4 for your terms x + 2 (x - 3) Make sure you solve this↪ 2 = 0 x + 2 = ? x + 2 = 0 We have found the first; x = -2 ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ Since, this one has a single variable, I'll make the step easier and quicker Solve this part ↪    x-3 = 0  If we had the number 3 to your sides we would have found the outcome of the next x                      So, the second x is 3  So, therefore your answer would have to be x =-2 ; x = 3 (most likely option C.)

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