AreejI250424 AreejI250424
  • 03-11-2022
  • Mathematics
contestada

3. Identify the zeros of the equation below: 2x^2 + 23 = 14x

Respuesta :

JoscelynI695506 JoscelynI695506
  • 03-11-2022

Simplify the equation.

[tex]\begin{gathered} 2x^2+23=14x \\ 2x^2-14x+23=0 \end{gathered}[/tex]

Determine the zeros of the equation by using quadratic formula.

[tex]\begin{gathered} x=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a} \\ =\frac{14\pm\sqrt[\square]{(-14)^2-4\cdot2\cdot23}}{2\cdot2} \\ =\frac{14\pm\sqrt[]{12}}{4} \\ =\frac{2(7\pm\sqrt[]{3})}{4} \\ =\frac{7}{2}\pm\frac{\sqrt[]{3}}{2} \end{gathered}[/tex]

THus zeros of the equation is,

[tex]\frac{7}{2}+\frac{\sqrt[]{3}}{2}[/tex]

and

[tex]\frac{7}{2}-\frac{\sqrt[]{3}}{2}[/tex]

Answer Link

Otras preguntas

Closing a sale refers to: A. asking for a referral from a prospective customer.B. being turned down by a prospective customer.C. delaying the decision to make a
The function shown in the graph is vertically stretched by a factor of 2 to produce a new graph. Which function represents the new graph?
(a + b - c)(a + b + c)
Combine the following expressions:
What are the “five little stone lozenges” mentioned in line 11?
What's the surface area?
while heating various liquids in a lab, Sascha notices that many of the liquides boil more quickly
For the first hundred years after the European rivals Japan experienced : select all that apply 1. Admiration from the Europeans because of their find crafts
Solve for an angle in right triangles.
the radius of the circle x^2+y^2 +px+6y-3=0 is 4. find the possible values of p​