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Fill in the blanks so that the equation has the solution of x={-4,-1}

User Jim Gomes
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1 Answer

4 votes

Answer:

The equation that gave the solution provided is either

x² + 5x + 4 = 0 or k(x² + 5x + 4) = 0 where k = real number

Explanation:

Although, the question isn't complete and the blanks to be filled aren't provided, Hence, we can work out a quadratic equation from the solutions for x given

The solutions for x include x = -4 or x = -1

x = -4 or x = -1

(x + 4) = 0 or (x + 1) = 0

So,

(x+4)(x+1) = 0

x² + 4x + x + 4 = 0

x² + 5x + 4 = 0

Hence, the equation that gave this solution is either x² + 5x + 4 = 0 or a constant multiple of the equation obtained; k(x² + 5x + 4) = 0

Hope this Helps!!!

User Solosodium
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