The volume of the prism is 900 cubic centimeters. The height is 15 cm and the height of the triangular base is 10 cm. What is th
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Using the discriminant, the quadratic equation that has complex solutions is given by:
x² + 2x + 5 = 0.
<h3>What is the discriminant of a quadratic equation and how does it influence the solutions?</h3>A quadratic equation is modeled by:
y = ax² + bx + c
The discriminant is:
The solutions are as follows:
- If
, it has 2 real solutions.
- If
, it has 1 real solutions.
- If
, it has 2 complex solutions.
In this problem, we want a negative discriminant, hence the equation is:
x² + 2x + 5 = 0.
As the coefficients are a = 1, b = 2, c = 5, hence:
More can be learned about the discriminant of quadratic functions at brainly.com/question/19776811
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A system that will produce infinitely many solutions will have the property where all the equations overlap. That means they will have the same slope and y-intercept.
An easy way to determine if they will produce infinitely many solutions is to put all the equations into
form. If everything is the same, you know it will have infinite solutions.
An easy way to determine if they will produce infinitely many solutions is to put all the equations into