a quadratic equation of the form 0 = ax²+bx + c has a discriminant value of -16. how many real number…

a quadratic equation of the form 0 = ax²+bx + c has a discriminant value of -16. how many real number solutions does the equation have?\n-1\n0\n1\n2

a quadratic equation of the form 0 = ax²+bx + c has a discriminant value of -16. how many real number solutions does the equation have?\n-1\n0\n1\n2

Answer

Explanation:

Step1: Recall discriminant - solution relationship

The discriminant of a quadratic equation $ax^{2}+bx + c=0$ is $\Delta=b^{2}-4ac$. If $\Delta>0$, there are 2 real - number solutions; if $\Delta = 0$, there is 1 real - number solution; if $\Delta<0$, there are 0 real - number solutions.

Step2: Analyze given discriminant value

Given $\Delta=-16<0$.

Answer:

0