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zloy xaker [14]
3 years ago
12

Explain why a quadratic equation with a positive discriminant has two real solutions, a quadratic equation with a negative discr

iminant has no real solution, and a quadratic equation with a discriminant of zero has one real solution.
Mathematics
1 answer:
Bad White [126]3 years ago
3 0

Answer:

A quadratic equation can be written as:

a*x^2 + b*x + c = 0.

where a, b and c are real numbers.

The solutions of this equation can be found by the equation:

x = \frac{-b +- \sqrt{b^2 - 4*a*c} }{2*a}

Where the determinant is D = b^2 - 4*a*c.

Now, if D>0

we have the square root of a positive number, which will be equal to a real number.

√D = R

then the solutions are:

x = \frac{-b +- R }{2*a}

Where each sign of R is a different solution for the equation.

If D< 0, we have the square root of a negative number, then we have a complex component:

√D = i*R

x = \frac{-b +- C*i }{2*a}

We have two complex solutions.

If D = 0

√0 = 0

then:

x = \frac{-b +- 0}{2*a} = \frac{-b}{2a}

We have only one real solution (or two equal solutions, depending on how you see it)

You might be interested in
Do you guys know what 4m - 2m + 3
lyudmila [28]

Answer:

2m + 3 I think.

Step-by-step explanation:

4m - 2m = 2m. So just put that in the equation now and poof. 2m + 3

4 0
1 year ago
Paula salió de su casa rumbo al trabajo avanzo 8km al este y 13km al norte. Si hubiera un camino recto desde su casa a su trabaj
zhannawk [14.2K]

Answer:

15.26km

Step-by-step explanation:

Con la informacion de la pregunta e hecho un diagrama de la situacion. Podemos ver en el diagrama que el recorido forma un triángulo rectángulo. Entonces para saber la distancia que recorreria por el camino recto desde su casa a su trabajo tendriamos que calcular el valor de x, que se puede calcular usando el teorema de pitagoras que es el siguiente.

a^{2} + b^{2} = c^{2}

donde a y b son el ancho y el alto del triangulo y el c seria x

8^{2} + 13^{2}  = x^{2}

64 + 169 = x^{2}

233 = x^{2}

15.26 = x

Finalmente, podemos ver que la distancia seria 15.26km

7 0
3 years ago
QUESTION 2
gregori [183]

Answer:

Step-by-step explanation:

ppleasepplease share the answers when got them

3 0
2 years ago
HELPPPPPPPP PLSSSS I HAVE 30 BEFORE THIS IS DUE
postnew [5]

Answer:

The line equation in slope-intercept form is:

y\:=-\frac{2}{5}x+4

Hence, option D is true.

Step-by-step explanation:

Given the points

  • (0, 4)
  • (5, 2)

Finding the slope between the points

\left(x_1,\:y_1\right)=\left(0,\:4\right),\:\left(x_2,\:y_2\right)=\left(5,\:2\right)

\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}

m=\frac{2-4}{5-0}

m=-\frac{2}{5}

As the y-intercept is obtained by setting the value x = 0.

As we know that when x = 0, the vale of y-intercept y = 4

so the y-intercept is b = 4.

As the slope-intercept form is

substituting the slope m = -2/5 and the y-intercept b=4

y  = mx+b

y\:=-\frac{2}{5}x+4

Therefore, the line equation in slope-intercept form is:

y\:=-\frac{2}{5}x+4

Hence, option D is true.

6 0
2 years ago
1274+3599 make a ten or a hundred to add mentally
VladimirAG [237]
Well the answer to 1274 plus 3599 = 4873. but I don't know what you are asking for?
6 0
3 years ago
Read 2 more answers
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