Respuesta :
Answer:
0
Step-by-step explanation:
It is been considered that Discriminant is calculated by the following formula:
D = b*b - 4 * a * c
In order to simplify the calculations we can divide all the numbers by 2 and we will have the same quadratic equation:
-x^2 -4x+4=0
and as usual quadratic equation is presented as the following:
ax^2 - bx + c = 0
so in our case a = -1; b = -4; c = 4;
Then D = -4*4 -4*(-1) * 4 = -16+16 = 0
I am not quite understanding the following phrase:
"and what does it value mean about the number about the number"
but if the question was in regards of the following number '-2x^2' so number ^2 is actually the value of power so 'x' is multiplied on it is own and this equation basically means the following:
-2x^2 = -2 * (x) * (x)
The discriminant of the quadratic equation [tex]-2x^{2} -8x + 8[/tex] is 0 and there is exactly one root of the given equation.
What is discriminant of a quadratic equation ?
The discriminant of a quadratic equation is a quantity that depends on the coefficients and determines various properties of the roots. Discriminant is considered as a polynomial function of the given equation.
The discriminant of a quadratic equation [tex]ax^{2} + bx + c[/tex] is given as -
[tex]b^{2} - 4*a*c[/tex]
If the discriminant is equal to zero then the given quadratic equation is said to have exactly one solution or root.
How to find discriminant of given quadratic equation ?
Given equation is [tex]-2x^{2} -8x + 8[/tex] .
Comparing with the standard equation, we get a = -2, b = -8 and c = 8
⇒ Discriminant = [tex]b^{2} - 4*a*c[/tex]
= (-8)*(-8) - 4*(-2)*(-8)
= 0
As the discriminant is equal to zero, the given quadratic equation has exactly one solution or root.
Thus, the discriminant of the quadratic equation [tex]-2x^{2} -8x + 8[/tex] is 0 and there is exactly one root of the given equation.
To learn more about discriminant , refer -
https://brainly.com/question/1537997
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