the discriminant of a quadratic equation is the value $b^{2}-4ac$. what is the value of the discriminant of…

the discriminant of a quadratic equation is the value $b^{2}-4ac$. what is the value of the discriminant of $0 = - 2x^{2}+6x + 13$?

the discriminant of a quadratic equation is the value $b^{2}-4ac$. what is the value of the discriminant of $0 = - 2x^{2}+6x + 13$?

Answer

Explanation:

Step1: Identify coefficients

For the quadratic equation $0=-2x^{2}+6x + 13$, we have $a=-2$, $b = 6$, $c = 13$.

Step2: Calculate discriminant

Substitute into $b^{2}-4ac$: $(6)^{2}-4\times(-2)\times13$. First, calculate $(6)^{2}=36$. Then, calculate $4\times(-2)\times13=-104$. So, $36-(-104)=36 + 104=140$.

Answer:

$140$