The square of a number plus the number is 182. Find any numbers that satisfy the situation.
1 answer:
Answer:
x =-14 x=13
Step-by-step explanation:
Let x be the unknown number
x^2 +x = 182
Subtract 182 from each side
x^2 +x -182 = 182-182
x^2 +x -182=0
What two numbers multiply to -182 and add to 1
14*-13 = 182
14-13 =1
(x+14)(x-13) = 0
Using the zero product property
x+14=0 x-13 =0
x =-14 x=13
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