Solving a quadratic equation we can see that the negative number is -15.5
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How to find the number?</h3>
Let's define x as the number. We know that x is negative, so x < 0.
Now, the statement can be rewritten as:
x*(2x - 3) = 527
Now we can solve this for x, we will get:
2x^2 - 3x = 527
2x^2 - 3x - 527 = 0
This is a quadratic equation, the solutions are given by:
x = (3 ± √( (-3)^2 - 4*(2)*(-527)) )/(2*2)
x = (3 ± 65)/4
We know that x is negative, then we only care for the negative solution, which is:
x = (3 - 65)/4 = -62/4 = -15.5
The negative number is -15.5
If you want to learn more about quadratic equations:
brainly.com/question/1214333
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