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A solar panel has an area of x2 + 13x + 42. Find the possible dimensions of the solar panel.

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1 vote

Answer: (x + 6) and (x + 7)

Step-by-step explanation: Determine if the polynomial terms contain a common factor. In this case, there's no common factor. Next, find two numbers whose product is 42 and whose sum is 13. The only pair of numbers that satisfies these conditions is 6 and 7. Finally, write the polynomial in factored form as (x + 6)(x + 7). Therefore, the possible dimensions of the rectangle are (x + 6) by (x + 7).

User Sangram Anand
by
8.5k points
6 votes

Answer: x+6 and x+7

Explanation:


x^(2) +13x + 42 = 0\\D = b^(2) - 4ac = 169 - 4*42 = 169 - 168 = 1\\x_(1) = (-13 + 1)/2 = -6\\x_(2) = (-13 -1)/2 = -7\\\\So, x^(2) + 13x + 42 = (x+6)(x+7) \\\\\\

Hence, the possible dimensions are x+6 and x+7.

User Ro Yo Mi
by
7.7k points

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