Respuesta :
The value of the negative zero of the function g(x) = 3x² + 14x - 5 is -5
What is a quadratic equation ?
Any equation of the form [tex]\rm ax^2+bx+c=0[/tex] Where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.
As we know, the formula for the roots of the quadratic equation is given by:
[tex]\rm x = \dfrac{-b \pm\sqrt{b^2-4ac}}{2a}[/tex]
We have a function
g(x)=3x² + 14x - 5
a = 3, b = 14, and c = -5
Plug all the values in the formula:
[tex]\rm x = \dfrac{-14 \pm\sqrt{14^2-4(3)(-5)}}{2(3)}[/tex]
After solving, we get:
x = -5 or x = 1/3
Thus, the value of the negative zero of the function g(x) = 3x² + 14x - 5 is -5
Learn more about quadratic equations here:
brainly.com/question/2263981
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