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The square of a number plus 3 times that number is equal to 4 . Find all numbers that satisfy this statement.

User DaveR
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1 Answer

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Final answer:

The numbers that satisfy the quadratic equation x² + 3x = 4 are -4 and 1, found by factoring the equation or using the quadratic formula.

Step-by-step explanation:

The problem you've described translates to a quadratic equation that can be written as x² + 3x = 4, where x represents the number. To find the values that satisfy this equation, we need to move all terms to one side to get x² + 3x - 4 = 0. Now, we can factor the quadratic equation or use the quadratic formula to find the values of x.

The factored form of the quadratic equation is (x + 4)(x - 1) = 0. This gives us two possible solutions for x: x = -4 and x = 1. Therefore, the numbers that satisfy the given statement are -4 and 1.