Respuesta :
The provided quadratic equation, which has a negative discriminant value of -16, has no real number solutions.
What is the discriminant value in a quadratic equation?
The standard form of the quadratic equation is,
[tex]ax^2+bx+c=0[/tex]
Here,(a,b, c) is the real numbers and (x) is the variable.
For this equation, the discriminant value can be given as,
[tex]D=b^2-4ac[/tex]
In this equation,
- If the discriminant value is positive (D>0), then the equation has 2 real solution.
- If the discriminant value is equal to zero (D=0), then the equation has 1 real solution.
- When the discriminant value is negative (D<0), then the equation has 2 imaginary solution.
The quadratic equation given as,
[tex]0=ax^2 +bx +c[/tex]
This quadratic equation has a discriminant value of -16. As the value of discriminant is negative, thus it has no real solution.
Hence, the provided quadratic equation, which has a negative discriminant value of -16, has no real number solutions.
Learn more about the discriminant value here;
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