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Solve 2x -18 = 48-x and check your answer |
| Answer» MARK as brainliest please!!Step-by-step explanation:First, subtract 48 from both sides:x(x+2)-48 = 0Now, use the FOIL METHOD to distribute the x to the (x+2)x^2 + 2x - 48 = 0Now, factor this trinomial:(x+8)(x-6) = 0Double-check that the factoring was correct by using the FOIL method to EXPAND it:x^2 - 6x + 8x - 48x^2 + 2x - 48Okay! So the factoring was correct:(x+8)(x-6) = 0In ORDER for this to be a true statement you need to look for values of x such that one set of parentheses equals 0, and thus multiplies by the other set of parentheses with a resulting product of 0.In other words, you need a value for x that cancels out the other term in the parentheses.The first set of parentheses:(x+8)You need to add something to the +8 to MAKE it equal to zero. In this case, you would add -8, and that is your first of the two values of x.The second set of parentheses:(x-6)Again, you need to add something to the -6 to make it equal to zero. In this case the value of x equals 6.So your two values of x are -8 and +6.To double-check that these solutions are correct simply substitute for x in the original equation:x(x+2) = 48x = -8-8(-8+2) = 48-8(-6) = 4848 = 48~~~~~~~x(x+2) = 48x = 66(6+2) = 486(8) = 4848 = 48So there are two solutions for x to the original equation, and the two solutions are -8 and +6. | |